Respuesta :
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.
