What is the value of x if (x,3) is a solution to 3x+2y=9

Answer 1

What is the value of x if (x,3) is a solution to 3x+2y=9?

Recall that points are made up of x- and y- coordinates, respectively; ie (x, y). Given that, you can use the y-coordinate to re-write the two-variable equation in terms of one variable. Simply plug in the y-coordinate for y. Then, solve the equation normally for x. I demonstrated each step below; take a look!

3x+2(3)=9

3x+6=9

–6 –6

3x + 0 = 3

3x=3

x = 1. Done!

Answer 2

3x + 2(3) = 9

3x + 6 = 9

3x = 3

x=1