Question

Find a solution to the following system of equations.
-2x+y=-3
-x+2y=3

Answer 1

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

We will start by solving one of the equations for one of the variables, and then substitute that expression into the other equation.

From the first equation, we can solve for y:

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

Now we can substitute this expression for y into the second equation:

-x + 2(2x - 3) = 3
-x + 4x - 6 = 3
3x - 6 = 3
3x = 9
x = 3

Now we can substitute the value of x back into one of the original equations to solve for y:

-2(3) + y = -3
-6 + y = -3
y = 3

Therefore, the solution to the system of equations is x = 3 and y = 3.