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Find the solution of the system of equations: -x + 4y = 25, -2x - 2y = -10. Submit the answer in (x, y) form.

A. (5, 5)
B. (6, 2)
C. (7, 8)
D. (8, 7)

User Gtatr
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1 Answer

4 votes

Final answer:

To find the solution of the system of equations, we can use the method of substitution or elimination to solve for x and y. The correct solution is (-1, 6).

Step-by-step explanation:

To find the solution of the system of equations -x + 4y = 25 and -2x - 2y = -10, we can use the method of substitution or elimination. Let's use the method of substitution:

We solve one equation for one variable and substitute it into the other equation:

-x = 25 - 4y → x = -25 + 4y

Substituting this value of x into the second equation:

-2(-25 + 4y) - 2y = -10 → 50 - 8y - 2y = -10 → 50 - 10y = -10 → -10y = -60 → y = 6

Substituting the value of y into x = -25 + 4y:

x = -25 + 4(6) → x = -25 + 24 → x = -1

Therefore, the solution of the system of equations is (-1, 6). So, the correct answer is option B. (6, 2).

User Jrennie
by
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