How do you solve #2x + y = 5# and #y = 3x + 2# using substitution?
Label the equations with numbers:
As we can see in both equations, the similar variable is
We can get rid of the value
Here, we can see that y=3x+2(2) and that we can place y=3x+2 (2) into the y variable in (1)
2x+ y =5 (1)
After substituting (2) into (1), we get:
Simplify the equation...
Now, we can find x
Now, we have to find y.
We can substitute x=
Hence, y=3.8 and x=0.6 (0.6,3.8)