Asked by shh
Solve the system of equations
7x+3y=-25
-7x+9y=-47
7x+3y=-25
-7x+9y=-47
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve this system of equations, we can use the method of substitution or the method of elimination. Since the coefficients of x in both equations are opposites, we can utilize the method of elimination.
By adding the two equations together, the x terms cancel out:
(7x + 3y) + (-7x + 9y) = (-25) + (-47)
3y + 9y = -72
12y = -72
y = -72/12
y = -6
Now we can substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -7/7
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -6.
By adding the two equations together, the x terms cancel out:
(7x + 3y) + (-7x + 9y) = (-25) + (-47)
3y + 9y = -72
12y = -72
y = -72/12
y = -6
Now we can substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -7/7
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -6.
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