Answer
There is no solution to this system of equations.
Work Step by Step
To solve a system of equations using substitution, we plug in an expression in place of a variable.
We want to modify one of the equations so that one variable is expressed in terms of another. We can then use this equation to substitute for the variable in the other equation.
Let's modify the first equation:
$2x + y = -12$
Subtract $2x$ from each side of the equation to isolate $y$:
$y = -2x - 12$
Substitute this expression for $y$ into the second equation:
$-4x - 2(-2x - 12) = 30$
Use the distributive property on the left side of the equation:
$-4x + 4x + 24 = 30$
Combine like terms on the left side of the equation:
$24 = 30$
There is no solution to this system of equations.
