Question

answer must be in x and y. solve the system of equations (x,y)​

Answer 1

Hi there! :)

$\large\boxed{0, 3}$

3x + 2y = 6

x - y = -3

We can solve the system most easily using substitution. Set the bottom equation equal to x:

x = y - 3

Substitute in this equation for "x" into the top equation:

3(y - 3) + 2y = 6

Distribute the coefficient with terms inside of the parenthesis:

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

3y - 9 + 2y = 6

Combine like terms and add 9 to both sides:

5y = 15

y = 3

Substitute in this value of "y" to solve for "x":

x - (3) = -3

x = 0

Therefore, the solution is at (0, 3).