Answer:
[tex]\boxed{ \text{ x = 0.5} }\\[/tex]
Step-by-step explanation:
[tex]\text{It sounds as if "they" are asking you to solve the problem graphically.}\\\text{Then, you must solve each equation for y, plot a few points for each graph,}\\ \text{and see where each line intersects. } \\[/tex]
[tex]\begin{array}{lll}(1) & 8x+ 2y =5 & \\(2) & y=-3x+2 & \\ & 2y=5-8x & \text{Subtracted 8x from each side}\\ & y = \frac{5-8x }{ 2} & \text{Divided each side by 2}\\\end{array}\\\\[/tex]
[tex]\text{Here are a few points for Equations (1) and (2).}\\\begin{array}{rr|rr}\\x & y & x & y\\-1 & 6.5 & -1 & 5\\0 & 2.5 & 0 & 2\\1 & -1.5 & 1 & -1\\\end{array}\\\\[/tex]
[tex]\text{Equation (1) is the red line in the graph below.}\\\text{Equation (2) is the blue line.}\\\text{The two lines cross at }{\textbf{x = 0.5}}\\\\\boxed{ \textbf{ x = 0.5} }\\\\[/tex]
