Question

Solve the system of equations. 7x+3y=−25 −7x+9y=−47 (1 point)

Answer 1

To solve the system of equations, we can use the method of elimination by adding the two equations together.

Adding the equations vertically, we get:

(7x + 3y) + (-7x + 9y) = (-25) + (-47)
simplifying, we get:
12y = -72
dividing both sides by 12, we get:
y = -6

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

7x + 3(-6) = -25
simplifying, we get:
7x - 18 = -25
adding 18 to both sides, we get:
7x = -7
dividing both sides by 7, we get:
x = -1

So the solution to the system of equations is x = -1, y = -6.