Solve using substitution. 2x+y=-3 -2x+2y=-18 square square

To solve the system of equations using substitution, we can follow these steps:<br /><br />1. Solve one equation for one variable in terms of the other variable.<br />2. Substitute the expression for the variable into the other equation and solve for the remaining variable.<br />3. Substitute the value of the variable found in step 2 back into one of the original equations to find the value of the other variable.<br /><br />Let's solve the given system of equations:<br /><br />$2x + y = -3$<br />$-2x + 2y = -18$<br /><br />Step 1: Solve the first equation for $y$ in terms of $x$.<br /><br />$2x + y = -3$<br />$y = -3 - 2x$<br /><br />Step 2: Substitute the expression for $y$ into the second equation and solve for $x$.<br /><br />$-2x + 2y = -18$<br />$-2x + 2(-3 - 2x) = -18$<br />$-2x - 6 - 4x = -18$<br />$-6x - 6 = -18$<br />$-6x = -12$<br />$x = 2$<br /><br />Step 3: Substitute the value of $x$ back into the expression for $y$ to find the value of $y$.<br /><br />$y = -3 - 2x$<br />$y = -3 - 2(2)$<br />$y = -3 - 4$<br />$y = -7$<br /><br />Therefore, the solution to the system of equations is $x = 2$ and $y = -7$.