find the solution of the system of equations

-6x + 5y = 34
-6x - 10y = 4

(_, _)

Answers

Answer 1

Answer:

(-4, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-6x + 5y = 34

-6x - 10y = 4

Step 2: Rewrite Systems

-6x + 5y = 34

Multiply everything by -1:                    6x - 5y = -34

Step 3: Redefine Systems

6x - 5y = -34

-6x - 10y = 4

Step 4: Solve for y

Elimination

Combine 2 equations:                    -15y = -30Divide -15 on both sides:                y = 2

Step 5: Solve for x

Define equation:                    -6x - 10y = 4Substitute in y:                       -6x - 10(2) = 4Multiply:                                  -6x - 20 = 4Add 20 on both sides:          -6x = 24Divide -6 on both sides:       x = -4

Related Questions

Exercise 3
John spends half of his pocket money, then a third of the rest.
1) What proportion of the starting money does he have left?
2) Since he has 5 dollars left, how much did he initially have?​

Answers

Answer:

1/2 - 1/3

3/6- 2/6 = 1/6

he has 1/6 left

6 X 5 = 30

he initially had $30

Nicolas has to repair the roof on his grandmother's house. He needs a ladder
that is 12 meters long. If one meter is approximately equal to 3.3 feet, how long
does his ladder need to be in feet?
8.7 ft
o 3.6 ft
39.6 ft
O 12.2 ft

Answers

Answer:

The ladder has 39.6 feet

Step-by-step explanation:

Length Units Conversion

To convert from meters to feet we use the relation

1 m = 3.3 ft

The ladder that Nicholas needs to repair the roof of his grandmother's hours is 12 meter long.  

Converting this length to feet we have

12 * 3.3 = 39.6 ft

The ladder has 39.6 feet

5a +8 2ab + 4 simplifies into:

Answers

Answer:

I think it is 5a+2ab+12

PB_WINT FSA DIAG_MA_GRTA_682
Which three measurements could be the lengths of the sides of a triangle?
25 feet, 30 feet, 60 feet
40 feet, 60 feet, 70 feet
40 feet, 175 foot, 220 feet
80 feet, 150 feet, 230 feet

Answers

Really any option.

Explanation: A triangle can be obtuse of acute, either of these answers will make one of those.

11.
10. The points (2, 4) and (-2,-4) are plotted on the
coordinate plane using the equation y=a.x.
How can you use the coordinates to find the
value of a?
..

Answers

Answer: 2

Step-by-step explanation: use the slope formula y2-y1/x2-x2

-4-4/-2-2=-2

(both equations above should be fractions when read)

There are 10 m of thread on the reel. She uses 210 cm. How much is left on the reel in centimeters

Answers

Answer: 8 meters and 90 centimeters

Step-by-step explanation:

there are 100 centimeters in a meter

Graph the linear equation y=2x + 1

Answers

Answer:

Answer attached

Step-by-step explanation:

t-1 4/9+4 5/9=3 2/9. What is t equal to?

Answers

Answer:

This equation is missing something. Can't solve.

Step-by-step explanation:

Im a lil confused with 20% of 180 ft

Answers

Answer:

36 ft

Step-by-step explanation:

20% x 180 = 36

Am positive Its 36 feet

Help Please! Find The Missing Sides Using Special Right Triangles.

Answers

Answer:

Choice 1

Step-by-step explanation:

m^2 +n^2=13^2

m^2=13^2-n^2

n^2=13^2-m^2

Both m & n =(13 x sq rt 2)/2

To put it another way:

m=(sq rt 2)/2 x 13

n=(sq rt 2)/2 x 13

Jordan earns $243 a week. A week The money is shown at the right. Answer the questions about how much he will earn over time.

Answers

Answer:

umm you need to tell me what the picture is shown at the right looks like plz

Step-by-step explanation:

Lucy made $323 for 17 hours of work.
At the same rate, how many hours would she have to work to make $95

Answers

19 minutes I think just divide 323 and 17

Exapand using Distributive Property: 2(x-5)
i need this ASAP please​

Answers

Answer:

2x-10

Step-by-step explanation:

no time to explain

hii please answer, thank you :)

Answers

Answer:

Eddie used the incorrect ratio for sin

Step-by-step explanation:

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{UV}{UT}[/tex] = [tex]\frac{8}{17}[/tex] , then

∠ T = [tex]sin^{-1}[/tex] ([tex]\frac{8}{17}[/tex] )

PLS HELP ME WITH THIS!!
Also pls explain why you go the answer.

Answers

Answer:

C

Step-by-step explanation:

To simplify this equation,

-x+10<2

-10 from both sides

-x<-8

Take out the negative

x<8

This means x is less than 8

For ≤ and ≥ , use a closed dot to indicate the number itself is part of the solution.

For < and >, use an open circle to indicate the number itself is not part of the solution.

In this case you use a open circle and becasue x is less than 8, the arrow pointing left is correct.

Your answer would be C

I need help with this problem please​

Answers

Answer:

c'( 7,-8) , T < -3 , -5 > 0r

                                          180

Step-by-step explanation:

hope this helps

In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram? I will mark brainliest :)

Answers

Answer: 25

Step-by-step explanation:

the exterior angle at q is 155, and the exterior and interior angle add up to 180. so, the interior angle at q is 180-155, which equals 25. angle PSR is across from interior angle q, and in parallelograms, angles across from one another must equal each other. this means that for PQRS to be a parallelogram, angle PSR must be 25 degrees.

If there are 9 players on a team how many different ways can you make a lineup?
A) 387,420,489
B) 362,880
C) 81
D) 336

Answers

Answer:

B

Step-by-step explanation:

9!=362880

PLEASE HELP!!! Using the zero product property.

Answers

y1= -2 y2 = 1.8
or 9/5

a right cone has a slant height of 17 feet and the diameter of the base it 30 feet. what is the height of the cone?

Answers

Answer:

8

Step-by-step explanation:

The height of the cone is 8 feet by using the Pythagorean theorem.

How to find the height of a cone?

The height of a cone can be found using the Pythagorean theorem and the slant height and radius (or diameter) of the base.

Given that the slant height of the cone is 17 feet and the diameter of the base is 30 feet, we can use the following formula to find the height:

height = √(slant height² - (diameter/2)²)

So in this case, the height of the cone would be:

height = √(17² - (30/2)²) = √(289 - 225) = √(64) = 8

Thus, the height of the cone is 8 feet.

Learn more about the cones here:

brainly.com/question/1578538

#SPJ2

Find the value of 49 – (-40)-(-3)+69

Answers

Answer:

49−(−40)−(−3)+69

=49+40+3+69

=89+72

=161.

Step-by-step explanation:

this answer ................

Find the slope of the lines​

Answers

Answer:

m= 2/3

Step-by-step explanation:

slope = rise/run

Which of the following could be used to prove the triangles are congruent?

Please help! This is timed!

I give Brainliest!!.!!.!!!

Answers

the answer HL...................

What is the equation of the line that has a slope of 1/2 and passes through the point (8,-1)? (Write your answer in slope intercept form)​

Answers

Answer:

y = 1/2x - 5

Step-by-step explanation:

y = 1/2x+b

-1 = 1/2(8) +b

-1 = 4+b

-5 = b

(GIVING BRAINILEST) The dot plots show the number of crackers per box for two different brands Which of he following statements is correct

Answers

Answer:

The Answer Is A

Step-by-step explanation:

Which expression(s) is (are) equivalent to
5(x + 9) + 7(y + 2) - x?
Select ALL that apply.
A. 5x + 9 + 7y + 2 - x
B. 4x + 7y + 59
OC. 5x + 45 + 7y + 14 - X
D. 11xy + 11
OE. 4x + 7y + 11
OF. 11xy + 59

Answers

Answer:

OC. 5x + 45 + 7y + 14 - X, OE. 4x + 7y + 11

Step-by-step explanation:

Because, 5(x + 9) is 5x + 45 and 7(y + 2) is 7y + 14 and so you simplify by simplifying the like terms for example 5x - x = 4x 45 + 14 = 59 and 7y stays the same.

The expression 5(x + 9) + 7(y + 2) - x can be equivalent to 4x + 7y + 59 and 5x + 45 + 7y + 14 - x, so option B and C are correct.

What is expression?

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.

Given expression:

5(x + 9) + 7(y + 2) - x

If you simplify, you will get,

5x + 45 + 7y + 14 - x,

And as further simplified we get,

4x + 7y + 59

Therefore, the expression 5(x + 9) + 7(y + 2) - x can be equivalent to 4x + 7y + 59 and 5x + 45 + 7y + 14 - x.

To know more about the expression:

https://brainly.com/question/13947055

#SPJ2

John and A.J. decided to get lunch from the hot dog cart. John bought 2 hot dogs and a soda, and his total was $4.00. A.J was taking lunch back to another coworker, so he bought 5 hot dogs and 2 sodas. A.J.'s total was $9.50.

What was the cost of each hot dog? each soda?

Answers

Hot Dogs: $1.50 (Like Costco XD)
Soda: $1.00

I Hope This Helps!(^_^)

Isabella correctly answered 18 of the questions on a history test. This represented 90% of the total questions. What was the total number of questions on the history test?

Answers

Answer:

20

Step-by-step explanation:

let x equal the number of questions

We know that

.9*x=18

to solve divide by .9 and get x=20

Answer:

20

Step-by-step explanation:

i took this on edg

Linda buys a packet of biscuits, there were p biscuits in it. She eats y of them and gave the rest to her friend. How many biscuits does Linda's friend get?​

Answers

she eats y out of the p

look at pic and answer plzzzzz its a DLA (7th)

Answers

Answer: 187.96 cm

Step-by-step explanation: First you need to convert all of the units into centimeters. To do this you need to convert the 6 feet into inches. Since there are 12 inches in a foot, 6 feet is equal to 72 inches. Next add the 2 inches to 72, and now this means Tyson is 74 inches tall. Lastly convert the inches into centimeters by multiplying 74 by 2.54, which equals 187.96.

Answer:

187.96cm

Step-by-step explanation:

Step 1: Convert 6 feet 2 inches to centimeters.

We have 1 inch = 2.54 cm and 1 foot = 12 inches and 1 feet = 30.48 cm

=> 6 feet 2 inches is about 187.96cm

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