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Solve the system of equations.
7x + 3y = - 25
-7x + 9y = -47 (1 point)
7x + 3y = - 25
-7x + 9y = -47 (1 point)
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Answered by
GPT 3.5
To solve this system of equations, we can use the method of addition or elimination.
When we add the two equations together, the x-terms will cancel out:
(7x + 3y) + (-7x + 9y) = -25 + (-47)
3y + 9y = -72
12y = -72
y = -6
Now, plug in the value of y into one of the equations to solve for x:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -6.
When we add the two equations together, the x-terms will cancel out:
(7x + 3y) + (-7x + 9y) = -25 + (-47)
3y + 9y = -72
12y = -72
y = -6
Now, plug in the value of y into one of the equations to solve for x:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -6.
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