Question

What is the value of the x-coordinate of the solution to the system of equations? 2x + y = 3 -5x - 2y = 4 A) x = 7 B) x = -10 C) x = 10 D) x = -7

Answer 1

Given:

$\begin{gathered} 2x+y=3\ldots\text{ (1)} \\ -5x-2y=4\ldots(2) \end{gathered}$

Multiply equation(1) by 2 and add with equation(2)

$\begin{gathered} 4x+2y-5x-2y=6+4 \\ 4x-5x=10 \\ -x=10 \\ x=-10 \end{gathered}$

Option B is the final answer