Question

How do I solve this problem using the substitution method
x-3y=4
4x-2y=26

Answer 1

x=7

y=1

Explanation:

In order to use substitution you need to get one of the equations to have a variable by itself. I'm going to use the first one and get x by itself.

x-3y= 4 So firstly add the 3y to both sides since you want x alone.

+3y +3y

x=3y+4

Now that you have x alone you can plug this into the second equation for x.

4(3y+4)-2y=26

Next distribute the 4 to both terms inside the parenthesis.

4(3y)+4(4)-2y=26 Simplify.

12y+16-2y=26 Now add or subtract your like terms together (12y-2y).

10y+16=26 Next subtract 16 from both sides.

-16 -16

10y=10 Finally, to get y alone divide by 10 on both side.

y=1

To find x you plug y back into one of the equations you started with. I'm using x-3y=4 Again.

x-3(1)=4 Distribute the -3 to the one.

x-3=4 Now add 3 to both sides.

+3 +3

x=7

Answer 2

Top 1. Substitute 3y on both sides of the equation.
Bottom 2. Substitute 2y on both sides of the equation

3y and 2y cancel

Divide x by 4 and 26 by 4.

Is there die points on a graph or decimal?

I have not done this for years but there is many calculators that can show you step by step online. I recommend using these