Solve the system of equations.
7x+3y=−25
−7x+9y=−47
To solve this system of equations, we can use the method of elimination by adding the two equations together to eliminate x.
Adding the two equations gives us:
7x + 3y + (-7x + 9y) = -25 + (-47)
3y + 9y = -72
12y = -72
y = -6
Now that we have found 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(-6) = -25
7x - 18 = -25
7x = -7
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -6.