Question

x + 3 = -2y + 5
x - 3 = 2y + 7
the solution to the given system of equations is (x, y). what is the value of 2x?
a -2
b 6
c 12
d 24

Explanation:

Step1: Rearrange the equations

Rewrite the first equation $x + 3=-2y + 5$ as $x+2y=2$. Rewrite the second equation $x - 3=2y + 7$ as $x-2y = 10$.

Step2: Add the two - new equations

$(x + 2y)+(x - 2y)=2 + 10$. Simplifying the left - hand side gives $2x$, and the right - hand side gives $12$. So $2x=12$.

Answer:

C. 12