Determine the solution to the system of equations below.

-5x – 7y = 11

x – 2y = -9

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To solve this system of equations, we can use the substitution method.

From the second equation, we can express x in terms of y:
x = 2y - 9

Now, substitute x = 2y - 9 into the first equation:
-5(2y - 9) - 7y = 11
-10y + 45 - 7y = 11
-17y + 45 = 11
-17y = -34
y = 2

Now, substitute y = 2 back into x = 2y - 9:
x = 2(2) - 9
x = 4 - 9
x = -5

Therefore, the solution to the system of equations is x = -5 and y = 2.

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