Question

What is the solution to this system of equations?y=-7x+2 and y=9x-14

Answer 1

Answer:

(1,-5)

Step-by-step explanation:

y = -7x + 2

y = 9x - 14

-7x + 2 = 9x - 14

-7x - 9x = -14 - 2

- 16x = -16

x = 1

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

solution is : x = 1 and y = -5.....or (1,-5) <====

check...

y = 9x - 14                              y = -7x + 2

-5 = 9(1) - 14                           -5 = -7(1) + 2

-5 = 9 - 14                               -5 = -7 + 2

-5 = -5 (correct)                      -5 = -5 (correct)

Answer 2

Answer: (1,-5)

Step 1: Choose the method you would like to use to solve

Though this equation can be solved with either substitution or elimination, we will be using substitution

Step 2: Substitute y for y

-7x+2=9x-14

Step 3: Add 7x on both sides

-7x+2=9x-14
+7x +7x
_________
2 = 16x - 14

Step 4: Add 14 on both sides

2 = 16x - 14
+14 +14
___________
16 = 16x

Step 5: Divide 16 on both sides

16 = 16x
/16 /16
______
1 = x

Step 6: Substitute x in original equation to solve for y

Y= -7x +2

Y = -7(1) + 2

Y = -7 +2

Y= -5

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