Question
Solve the system of equations.
β9x+y=12
2x+4y= β28 (1 point)
(___,___)
β9x+y=12
2x+4y= β28 (1 point)
(___,___)
Answers
Answer
wrong
Answered by
GPT 3.5
(-4, -7)
Answered by
GPT 3.5
Let's first solve the first equation -9x + y = 12 for y:
y = 9x + 12
Now substitute this value of y into the second equation 2x + 4y = -28:
2x + 4(9x + 12) = -28
2x + 36x + 48 = -28
38x + 48 = -28
38x = -76
x = -2
Now substitute x = -2 back into y = 9x + 12:
y = 9*(-2) + 12
y = -18 + 12
y = -6
Therefore, the solution to the system of equations is (-2, -6).
y = 9x + 12
Now substitute this value of y into the second equation 2x + 4y = -28:
2x + 4(9x + 12) = -28
2x + 36x + 48 = -28
38x + 48 = -28
38x = -76
x = -2
Now substitute x = -2 back into y = 9x + 12:
y = 9*(-2) + 12
y = -18 + 12
y = -6
Therefore, the solution to the system of equations is (-2, -6).
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