00:02
To solve the system using substitution, we need to rewrite one of the equations for one of its variables.
00:09
Let's go ahead and rewrite the second equation for x.
00:13
To get x by itself, add 2y to both sides.
00:19
5x is equal to 2y plus 6, and then divide both sides by 5.
00:25
And x equals 2 5ths y plus 6 5ths.
00:31
Now we can substitute the expression into our other equation for the x variable.
00:37
6 times 2 5ths y plus 6 fifth minus 5y is equal to 2.
00:48
We have one equation with one variable.
00:51
We can simplify using the distributive property first.
00:55
12 5ths y plus 36 5ths minus 5y is equal to 2.
01:05
Let's go ahead and eliminate the fractions by multiplying the entire equation both sides by 5.
01:12
This leaves us with 12y plus 36 minus 25 y is equal to 10.
01:22
Now we can combine like terms, 12y minus 25 y is negative 13y plus 36 is equal to 10.
01:33
Subtract 36 from both sides...