Math 10 Week 15 – Substitution Method for System of Equations

In this blog post, I am going to show you how to use the substitution to solve system of equation questions.

So let’s say that we have two equations that look like this:

y=x+2 and 3x+4y=1

So first we are going to take the equation that has a variable with a coefficient of 1.

Then we are going to make sure that the variable is isolated. Then we are going to take the other part of the equation and substitute it into our second equation.

3x+4(x+2)=1

In this equation, we are only left with one one variable shown. Then from here we are going to distribute, sort and simplify.

3x+4x+8=1

3x+4x=1-8

7x/7=-7/7

x=-1

Then we check our results to see if they are correct and to find our Y value.

(y)=(-1)+2

y=1

(-1,1) are our coordinates.