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]
Solve for x 2x−3 = 5
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)
Help me pleaseee I don’t understand
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=
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
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
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
How do you write 3.8 in scientific notation?
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
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?
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
Answer:
3
Step-by-step explanation:
3x2 is a term, -6x is a term, and 1 is a term (i could be wrong)
How many people can fit on an escalator?
(In units).
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
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
Simplify. ( 8mn2 )-2 ( 12m
Need help..................
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.
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
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.
A computer software program is $45 plus 5.5% tax. Find
the final price.
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.
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''
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The number is x, then:
3x = x + 63x - x = 62x = 6x = 3The number is 3
8 − a = 17. What does a equal?
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
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
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
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
Answer:
No they are not the same because.....
Step-by-step explanation:
Please help me solve this radical problem
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
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)
Answer:
$33.44Step-by-step explanation:
Working hours:
20 days, 8 hours a day20*8 = 160 hoursEarning in a month = $5350
Hourly earning rate:
5350/160 = 33.4375 = $33.44 rounded