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how would you solve the equation -3x-4y=2 with x+2y=-2 using the systems of substitution

Sagot :

Answer:

(2, - 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 4y = 2 → (1)

x + 2y = - 2 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 2 - 2y → (3)

Substitute x = - 2 - 2y into (1)

- 3(- 2 - 2y) - 4y = 2 ← distribute parenthesis and simplify left side

6 + 6y - 4y = 2

2y + 6 = 2 ( subtract 6 from both sides )

2y = - 4 ( divide both sides by 2 )

y = - 2

Substitute y = - 2 into (3) for corresponding value of x

x = - 2 - 2(- 2) = - 2 + 4 = 2

solution is (2, - 2 )

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