Question

Solve the system of equations using substitution method x-y=5 3x+2y=10

Answer 1

Steps:

So to be able to use the substitution method, we have to solve one of the equations for one of the variables. For this, I will solve the first equation for x. For the first equation, add both sides by y:

`x=5+y\\3x+2y=10`

Now that we know that x = 5 + y, replace x in the second equation with (5 + y) and solve for y as such:

`3(5+y)+2y=10\\15+3y+2y=10\\15+5y=10\\5y=-5\\y=-1`

Now that we know the value of y, substitute it into either equation to solve for x as such:

`x-(-1)=5\\x+1=5\\x=4\\\\3x+2(-1)=10\\3x-2=10\\3x=12\\x=4`

Answer:

In short, in (x,y) form your answer is (4,-1).