Question

{2x + 3y = 5}{ y= 5 x -4}

Answer 1

Solve the system using substitutions:

$\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}$

x has a value of 1. Use this value to find the value of y.

$\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}$

y has a value of 1.

x=1

y=1