Question

3x+2y=2
-2x+y=8

Answer 1

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

First, let's solve the second equation for y:
-2x + y = 8 ⟹ y = 8 + 2x

Now, substitute this value of y in the first equation:
3x + 2(8 + 2x) = 2

Let's simplify and solve for x:
3x + 16 + 4x = 2
7x + 16 = 2
7x = -14
x = -14/7
x = -2

Now, substitute this value of x back into the second equation to find y:
-2(-2) + y = 8
4 + y = 8
y = 8 - 4
y = 4

Therefore, the solution to the system of equations is x = -2 and y = 4.