Solve the system of equations and choose the correct ordered pair.3x – 4y = 262x + 8y = –36A.(2, –5)B.(2, 5)C.(6, 2)D.(6, –2)

Question

$3x - 4y = 26$

$2x + 8y = -36$

A. (2, –5)
B. (2, 5)
C. (6, 2)
D. (6, –2)

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To solve the system of equations, we can use either substitution or elimination method. Here, we will use the elimination method.

The system of equations is:

3x - 4y = 26 2x + 8y = -36

First, we can multiply the first equation by 2 and the second equation by 3 to make the coefficients of x in both equations the same:

6x - 8y = 52 6x + 24y = -108

Now, subtract the second equation from the first:

6x - 6x - 8y - 24y = 52 - (-108) 0x - 32y = 160

Solving for y, we get:

y = 160 / -32 = -5

Substitute y = -5 into the first equation:

3x - 4(-5) = 26 3x + 20 = 26 3x = 26 - 20 3x = 6 x = 6 / 3 = 2

So, the solution to the system of equations is (2, -5). Therefore, the correct answer is A.(2, -5).

This problem has been solved

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