- 9x + 2y = 2and - 3x + y = - 2

Answer 1

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

Let's use the method of substitution:
From the second equation, we can solve for y:
-3x + y = -2
y = 3x - 2

Now we can substitute this expression for y into the first equation:
-9x + 2(3x - 2) = 2
-9x + 6x - 4 = 2
-3x = 6
x = -2

Now, substitute this value of x into either of the original equations to solve for y. Let's use the second equation:
-3(-2) + y = -2
6 + y = -2
y = -2 - 6
y = -8

Therefore, the solution to the system of equations is x = -2 and y = -8.