For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation? (5 points) 3x + y = 8 −x − 2y = −10

Answer:[tex]x=-2y+10[/tex]Step-by-step explanation:We have been given a system of linear equation as:[tex]3x+y=8...(1)[/tex][tex]-x-2y=-10...(2)[/tex]To solve our system of equation by substitution method, we need to isolate x from equation (2).First of all, we will multiply both sides our equation by -1 as shown below. [tex]-1(-x-2y)=-1\cdot -10[/tex][tex]-1*-x-1*-2y=-1\cdot -10[/tex][tex]x+2y=10[/tex]Now, we will subtract 2y from both sides of our equation.[tex]x+2y-2y=10-2y[/tex][tex]x=-2y+10[/tex]Therefore, we need to substitute [tex]x=-2y+10[/tex] in equation (1) to solve our given system of equations.