To solve this system of equations, we will use the method of elimination. We can eliminate the x variable by adding the two equations together.
(7x + 3y) + (-7x + 9y) = -25 + (-47)
This simplifies to:
12y = -72
Now, we can solve for y by dividing both sides of the equation by 12:
y = -6
Next, we can substitute this value of y into one of the original equations to solve for x. Let's use the first equation:
7x + 3(-6) = -25
7x - 18 = -25
Adding 18 to both sides:
7x = -7
Finally, we can solve for x by dividing both sides of the equation by 7:
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -6.
Solve the system of equations.
7x + 3y = - 25
- 7x + 9y = - 47 (1 point)
1 answer