Answer
(-1,4)
Work Step by Step
Our two equations are:
1. 3x+2y=5
2. 4x+5y+16
First, lets multiply the first equation with 4. By doing so, we get:
1. 12x+8y=20
2. 4x+5y+16
Then, lets multiply the second equation with 3. By doing so we get:
1. 12x+8y=20
2. 12x+15y+48
Now lets subtract the second equation from the first equation. By doing so, we end up with the equation:
-7y=-28
Now lets divide both sides by -7 to find the value of y.
y=4
Now that we know the value of y, lets substitute that value into the first equation to get our x value or coordinate.
3x+2(4)=5
3x+8=5
Subtract both sides by 8 and then divided by 3 to find the value of x. We get:
x=-1
So our answer is the ordered pair (-1,4)
