SAT Question 3a84f885: Systems of Linear Equations answer and explanation with Desmos solution

Adding the first equation to the second equation in the given system yields $\left(x-2\right)+\left(x-2\right)+\left(-4\right)\left(y+7\right)+4\left(y+7\right)=117+442$, or $2\left(x-2\right)=559$. Multiplying both sides of this equation by $3$ yields $6\left(x-2\right)=1,677$. Therefore, the value of $6\left(x-2\right)$ is $1,677$.