graph the 2 lines, find the solution to the system\n2x + 4y = -4\n2x - 4y = 12

Explanation:

Step1: Add the two equations

Adding $2x + 4y=-4$ and $2x - 4y = 12$ eliminates $y$. $(2x + 4y)+(2x - 4y)=-4 + 12$ $4x=8$

Step2: Solve for $x$

Divide both sides of $4x = 8$ by 4. $x=\frac{8}{4}=2$

Step3: Substitute $x = 2$ into the first - equation

Substitute $x = 2$ into $2x+4y=-4$. $2\times2 + 4y=-4$ $4 + 4y=-4$

Step4: Solve for $y$

Subtract 4 from both sides: $4y=-4 - 4=-8$. Then divide both sides by 4: $y=\frac{-8}{4}=-2$

Answer:

The solution to the system is $(2,-2)$