Solve the system of equations.
7x+3y=−25
−7x+9y=−47
To solve this system of equations, we can use the method of elimination.
First, we multiply the first equation by 7 to get rid of the x variable:
7(7x + 3y) = 7(-25)
49x + 21y = -175
Next, we add this equation to the second equation to eliminate the x variable:
49x + 21y - 7x + 9y = -175 - 47
42y = -222
y = -222 / 42
y = -37 / 7
y = -5
Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:
7x + 3(-5) = -25
7x - 15 = -25
7x = -10
x = -10 / 7
x = -1.43
Therefore, the solution to the system of equations is x = -1.43 and y = -5.