Question

Slove the system of equations
7x+3y=-25
-7x+9y=-47

Answer 1

To solve this system of equations, we can use the method of elimination.

Start by adding the two equations together to eliminate the term "-7x":
(7x + 3y) + (-7x + 9y) = -25 + (-47)
7x - 7x + 3y + 9y = -25 - 47
12y = -72
Divide both sides of the equation by 12:
12y/12 = -72/12
y = -6

Now substitute the value of y back into one of the original equations, let's use the first equation:
7x + 3(-6) = -25
7x - 18 = -25
Add 18 to both sides of the equation:
7x - 18 + 18 = -25 + 18
7x = -7
Divide both sides of the equation by 7:
7x/7 = -7/7
x = -1

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