Question

Does the ordered pair (3,−2) satisfy the following system of equations? {3x−3y=15 ,
X−y=5

Answer 1

Yes, the order pair (3, -2) satisfies the system of equations.

Explanation:

To check whether the ordered pair (3, -2) satisfies the system of equations, we plug in 3 for x and -2 for y in both equations and see whether we get the same answer on both sides of the two equations in our system:

Checking (3, -2) in 3x - 3y = 15:

3(3) - 3(-2) = 15

9 + 6 = 15

15 = 15

Checking (3, -2) in x - y = 5:

3 - (-2) = 5

3 + 2 = 5

5 = 5

Thus, (3, -2) satisfies the system of equations.