What is the solution to the system of linear equations?

-8x-7y=96
-3x+5y=-25

Enter your answer in the boxes

Answers

Answer 1

Answer:

[tex]x = -5[/tex]

[tex]y = -8[/tex]

Step-by-step explanation:

Given

[tex]-8x - 7y = 96[/tex]

[tex]-3x + 5y = -25[/tex]

Required

Determine x and y

Make y the subject  of formula in the second equation

[tex]-3x + 5y = -25[/tex]

[tex]5y = 3x - 25[/tex]

[tex]y = \frac{3}{5}x - \frac{25}{5}[/tex]

[tex]y = \frac{3}{5}x - 5[/tex]

Substitute this value in the first equation

[tex]-8x - 7(\frac{3}{5}x - 5) = 96[/tex]

[tex]-8x - 7*\frac{3}{5}x + 7 * 5 = 96[/tex]

[tex]-8x - \frac{21}{5}x + 35 = 96[/tex]

Collect Like Terms

[tex]-8x - \frac{21}{5}x = 96 - 35[/tex]

[tex]\frac{-61}{5}x = 61[/tex]

[tex]x = 61 * \frac{-5}{61}[/tex]

[tex]x = -5[/tex]

Recall that

[tex]y = \frac{3}{5}x - 5[/tex]

This gives

[tex]y = \frac{3}{5} * -5 - 5[/tex]

[tex]y = -3 - 5[/tex]

[tex]y = -8[/tex]


Related Questions

Solve for x 2x−3 = 5

Answers

Answer:

5=5

Step-by-step explanation:

5

2x−3=5

1 Let

x

=

4

x=4.

2

×

4

3

=

5

2×4−3=5

2 Simplify

2

×

4

2×4 to

8

8.

8

3

=

5

8−3=5

3 Simplify

8

3

8−3 to

5

5.

5

=

5

5=5

Answer:

x=4

Step-by-step explanation:

Add three to both sides 2x=5+3

Simplify  5+35+3  to  88. 2x=8

Divide both sides by 22.  x= 8/2

Simplify 8/2 to 4

x=4  

hope this helps plz mark brainliest :)

The coordinates of point T are ​(​0,5​). The midpoint of ST is ​(​3,-5​). Find the coordinates of point S. (Type an ordered pair)

Answers

The coordinates are (6,-10)

Help me pleaseee I don’t understand

Answers

I'll solve one from each kind

Q1)

6 = a/4 + 2 (mutiply both sides)

24 = a + 8 (move the terms)

-a = 8 - 24 (calculate)

-a = 8 - 16 (change the signs)

a = 16

Q8)

2( 2 + 5) = -2 (divide both sides)

n + 5 = -1 (move the constant to the right)

n = -1 - 5 (calculate)

n= -6

Q3)

9x - 7 = 7 (cancel equal terms)

9x = 0 (divide both sides)

x = 0

3-7=
4-6=
3+-6=
4--1=
-5+-5=
-3+5=
-4-6=

Answers

Answer:

Answers are below

Step-by-step explanation:

3 - 7 = -4

4 - 6 = -2

3 + -6 = -3

4 - - 1 = 5

-5 + -5 = -10

-3 + 5 = 2

-4 -6 = -10

Hope this helps!!

solve 2x -9 equal 15​

Answers

Answer:

x= 12

Step-by-step explanation:

15+9=24

24/2=12

Answer:

x = 12

Step-by-step explanation:

2x - 9 = 15

    + 9

2x = 24

2      2

x = 12

Jamal is 167 cm tall. Which expression finds Jamal's height in dekameters? Use the metric table to help answer the
question
kilo-
1,000
hecto-
100
deka-
10
Metric Table
unit
1
deci-
0.1
centi-
0.01
milli-
0.001

Answers

Answer:

1 cm is equal to -----------> 0.001 dekameters

so

167 cm------------------> X

x=167*0.001------> x=0.167 dekameters

Step-by-step explanation:

Expression to finds Jamal’s height in dekameters

[Jamal’s height in cm]*0.001  or [Jamal’s height in cm]/1000

Answer:

D

Step-by-step explanation:


I need help with this questions

1) If R is the midpoint of QS,find QS

2) If B is the midpoint of AC ,and AC =8x-20, find BC​

Answers

QS=7x-1
BC=5x-19
I think so...

How do you write 3.8 in scientific notation?

Answers

Answer:

3.8 × 10^{1}

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 38 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 38

New Number: 3.8

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 3 . 8

Decimal Count: 1

There are 1 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 3.8

b = 1

Now the whole thing:

3.8 x 10^{1}

Step 4

Check work:

10^{1} = 10 x 3.8 = 38

A is located ( 1, -1) and B is located (4, 4) Find the coordinates of point that partition
B in ratio 1: 4

Answers

Answer:

5 -3

Step-by-step explanation:

if the ab ratio is 1:4 wouldnt i need a diagram for that?

What should happen to both sides of the equation to isolate the variable?

Answers

Answer:

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable

Step-by-step explanation:

How many terms are in the expression? 3x²-6x+1​

Answers

Answer:

3

Step-by-step explanation:

3x2 is a term, -6x is a term, and 1 is a term (i could be wrong)

There are 3 terms: 3x^2, -6x, and 1.

How many people can fit on an escalator?
(In units).

Answers

Answer:

21 i think

Step-by-step explanation:

Zane is washing cars to help pay for a school trip. He gets paid $8 for every car he washes and made a total of $64 on Saturday. Write an equation to show how many cars Zane washed on Saturday.
8 − x = 64
64x = 8
8 + x = 64
8x = 64

Answers

Answer:

I just to the test

It D: 8x=64

Answer:

D: 8x = 64

Step-by-step explanation:

($8) equals the amount he makes for washing 1 car

($64) is the total amount Zane has made from washing cars

(X) is equal to how many cars he has washed for the total to be $64

Now, all we have to do is write down an equation that shows how we can find how many cars have been washed for him to get his sum of $64.

8 times x (x is equal to the number of cars he's washed) so 8 times something (or x) gives you the amount of money Zane has made which would be the only viable answer to the question.

8 - x = 64 - Incorrect

You would not be subtracting the amount of cars Zane has washed by the amount of money he is making per car.

64x = 8 - incorrect

This would mean you're multiplying the total amount of money Zane has made, by how many cars he's washed, which then equals the amount he makes per car. Doesn't make sense ik.

8 + x = 64 - incorrect

While this could look like a viable answer to what they're asking, don't be tricked. You have to multiply the number of cars Zane has washed by the amount he makes per car, otherwise you would just be adding 8 plus the number of cars he washed which does not equal $64.

Hope this helped:)

4 1/2 - 2 2/3
Simplest form

Answers

convert the mixed number to an improper fraction
9/2 - 2 2/3
9/2 - 8/3
11/6

simplest form:
1 5/6

Simplify. ( 8mn2 )-2 ( 12m

Answers

i think the answer is: 8mn^2-24m

Need help..................

Answers

Answer:

I only

Step-by-step explanation:

1 - 2x <= 8

-2x <= 7

x >= -7/2

x >= -3.5

-2 is a solution

Answer: I only

Answer:

answer is 1 only

as 1-2 (-2) < 8

1+ 4 < 8

5 < 8 satisfies the given equation

The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.

Answers

Answer:

m∠B= 67

m∠C= 23

Step-by-step explanation:

okay so same thing we did before except they will equal 90 not 180

B= 3(c)+2

c+b=90

c+3(c)+2=90

4c+2=90

4c=92

c=23

now input them! or subtract!

90-23=67

m∠C=23

m∠B=67

i need < 2 and <4 help plz

Answers

Answer:

Step-by-step explanation:

m<3 = 43 degrees

add 43 degrees and 43 degrees and the answer is 86. and since everything equals 180 degrees, 180 - 86 = 94. since there are 2 side needed to be solved divide 94/2 = 47

so 47 degrees for <2 and 47 degrees for <4

to check my work just add up all the sides

47 degrees for <2, 47 degrees for <4, 43 degrees for <1, 43 degrees for <3

47 + 47+ 43+ 43= 180 degrees

hope this helps:)

Identify the equation modeled below, and then find its solution.

Answers

the equation is 6x-4=-2x-2

and x=4

A computer software program is $45 plus 5.5% tax. Find
the final price.

Answers

I think it’s $47.48 but I’m not sure tho
Hope it helped

Final price = price x (1 + sales tax)

Final price = 45 x 1.055 = $47.48

The cost of renting a kayak for one hour is $23. Each additional hour is $8 more. Write the formulas to represent the situation.

Answers

Answer:

Step-by-step explanation:

Add and then multiply the one left

Answer: 23+8h=d

Step-by-step explanation: Lets say that h is the amount of hours if she is to rent it anymore and d is the amount of money

''the product of a number and three is the same as the sum of that number and six''

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The number is x, then:

3x = x + 63x - x = 62x = 6x = 3

The number is 3

8 − a = 17. What does a equal?

Answers

Answer:

a = -9

Step-by-step explanation:

8 - a = 17

8 -17 = a

-9 = a

Answer:

-9

Step-by-step explanation:

subtract 8 from both sides. divide -1 by both sides it gives you -9. When put into the equation the two negatives make a positive and you add 8 + 9 which gives u 17.

2x/x-5 = 4 (solve this equation)

If possible, do please tell me on how to do these kind of questions! <3

Answers

Answer:

x=10

Step-by-step explanation:

(2x)/(x-5)=4

first you multiply the denominator on both sides

2x=4(x-5)

then multiply

2x=4x-20

then move all the x variables to one side and the constants to the other with subtraction and addition

20=2x

divide and you get x=10

you can plug this in to check your work and you'll see: (2(10))/(10-5)=4 or 20/5=4 which you know is true

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

1.5 ounces

Step-by-step explain:

for every 3 ounces of juice, 2 ounces of water is needed.

therefore, 3/2 = 1.5 ounces

jonathan rode his bike at a speed of 14 miles per hour. he rode for 6.5 hours. how far did he ride his bike

Answers

Answer:

91 miles

Step-by-step explanation:

14 x 6.5 = 91

Draw the line AB and AC. Are the lines the same? Explain

Draw the line segment AC and BD are the segments the same? Explain

Draw the rays CA and CB. Are the rays the same? Explain ​

Answers

Answer:

No they are not the same because.....

Step-by-step explanation:

Please help me solve this radical problem

Answers

Answer:

17root13

Step-by-step explanation:

since they have the same radical you can just add the outside.

Write the equation in slope-intercept form.
5x + 3y = 11

Answers

Answer:

y = -5/3 x + 11/3

Step-by-step explanation:

5x +3y = 11

3y = 11 - 5x

y = -5/3 x + 11/3

Manuel earns 5350 a month. if he worked eight hours a day for 20 days, how much did he make each hour? Express your answer in dollars and cents. (Rounded)

Answers

Answer:

$33.44

Step-by-step explanation:

Working hours:

20 days, 8 hours a day20*8 = 160 hours

Earning in a month = $5350

Hourly earning rate:

5350/160 = 33.4375 = $33.44 rounded
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