Question

Solve the system of equations. Enter your answer as an ordered pair (x, y). 4x+y=−1 −5x−2y=−4

Answer 1

(-2, 7)

Explanation:

4x + y = -1

-5x - 2y = -4

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2(4x + y = -1) = 8x + 2y = -2

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8x + 2y = -2

-5x - 2y = -4

3x = -6

÷3 ÷3

x = -2

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4(-2) + y = -1

-8 + y = -1

+8 +8

y = 7

I hope this helps!

Answer 2

Explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2 8x + 2y = -2

(II) -5x - 2y = -4 {Now add and y will be eliminated}

3x = -6

x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8 + y = -1

y = - 1 + 8

y = 7