00:01
So we're asked to solve the system of equations using either substitution or elimination.
00:05
So i'm going to choose to use substitution just because we're given a y variable alone here, so we can work with that pretty easily.
00:12
So the first thing i'm going to do is subtract 3x from both sides of this equation.
00:16
This is going to turn into y is equal to 4 minus 3x and 2x minus 4 y is equal to 7.
00:24
Our next step is to substitute in y is equal to 4 minus 3x into the second equation, which yields 2x minus 4 times 4 minus 3x is equal to 7, and that y is equal to 4 minus 3x.
00:41
Our next step is in the second equation to go ahead and solve for x.
00:48
If we go ahead and we simplify this first, the left -hand side of the equation, we get that y is equal to 4 minus 3x.
00:55
And that 14, excuse me, 14x minus 16, it's equal to 7.
01:01
Let's go ahead and solve that for x, and we get, we get x is equal to 23 over 14...