solve the system of equations.

Question

7x + 3y = -25
-7x + 9y = -47
(_,_)

Answer 1

To solve this system of equations, we can use the method of elimination by adding the two equations together. First, let's rewrite the equations in a way that helps us eliminate one of the variables:

7x + 3y = -25
-7x + 9y = -47

Now, add the two equations together:

7x + 3y + (-7x + 9y) = -25 + (-47)
7x - 7x + 3y + 9y = -25 - 47
12y = -72

Now, divide by 12:

y = -72 / 12
y = -6

Now that we have the value of y, we can substitute it back into one of the equations to solve for x. Let's use the first equation:

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.