When you have a system of equations the first thing you want to do is find a value for one variable. So the first equation x+3y=7 we are going to rewrite so we get a value for x; X=-3y+7 Now with second equation 3x+2y=O we will rewrite “substituting” x for the value we found : 3(-3y+7)+2y=0 Now do distributive property -9y+7+2y=0 Combine like terms -7y+7=0 Subtract seven on both sides -7y=-7
Divide both sides by -7 y =1 Now we have to find the value of X so plug in 1 for y in the first original problem x + 3(1) =7 x +3=7 Subtract three from both sides x =4 So final answer x =4; y =1
