Question

Solve the system of equations and choose the correct ordered pair.

6x - 6y + 11 = 17
9y = 3x + 15

A. (6, 5)
B. (4, 3)
C. (3, 2)
D. (6, 3)

Answer 1

Well the first thing would be to simplify the first equation, and then solve for x;
6x - 6y + 11 = 17
6x - 6y = 17 - 11
6x - 6y = 6
6x = 6y + 6
6y + 6
x = -------
6
x = y + 1
Now we enter it in the other equation;
9y = 3x + 15
9y = 3(y + 1) + 15
9y = 3y + 3 + 15
9y - 3y = 18
6y = 18
y = 18/6
y = 3
x = y + 1
x = 3 + 1
x = 4
The answer would be that x = 4 and y = 3, so it be (4,3) which is answer choice b