Question

Solve the system of linear equations by elimination.5x + y = 50x - y = -26

Answer 1

The equation system is:

$\begin{gathered} 5x+6y=50 \\ x-6y=-26 \end{gathered}$

So we add the equation to remove the variable y so:

$\begin{gathered} 5x+x+6y-6y=50-26 \\ 6x=24 \\ x=\frac{24}{6} \\ x=4 \end{gathered}$

Now we replace in the secon equation to find y so:

$\begin{gathered} 4-6y=-26 \\ 30=6y \\ \frac{30}{6}=y \\ 5=y \end{gathered}$

So the solution is:

$(4,5)$