Answer
Solution: (8, 25)
Work Step by Step
Our two equations are:
1. y=4x-7
2. y=2x+9
The question asks us to use substitution, so we will substitute the value of y in the second equation to the y-term in the first equation. In simpler terms, we will equate the two values of y to each other because both of the two values are equal to y.
4x-7=2x+9 (Subtract 2x from both sides)
2x-7=9 (Add 7 to both sides)
2x=16 (Divide by 2 to both sides)
x=8
Now that we have the value of x, lets substitute it into the first equation to find the value of y.
y=4(8)-7
y=32-7
y=25
So our solution is (8, 25)
