Question

What is the value of x in the solution to the system of equations?3x + 2y = 125x – 2y = 4

Answer 1

ANSWER

x = 2

EXPLANATION

We want to find the value of x that is a solution to the system of equations:

$\begin{gathered} 3x+2y=12 \\ 5x-2y=4 \end{gathered}$

We can solve this by elimination.

To do this, add the two equations:

$\begin{gathered} 3x+2y+(5x-2y)=12+4 \\ 3x+5x+2x-2x=16 \\ 8x=16 \\ x=\frac{16}{8} \\ x=2 \end{gathered}$

That is the value of x that is a solution to the system of equations.