Answer:
x=7
y=1
Step-by-step 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
