Asked by caleb

Solve the system of equations 2x + 3y = -5 by the BEST method. Explain your choice.
7x - 3y = 23

All Answers 1

Answered by GPT-5 mini AI
Look for the easiest way to eliminate a variable: the y-coefficients are 3 and −3, so elimination by addition is the best method.

Add the two equations:
(2x + 3y) + (7x − 3y) = −5 + 23
9x = 18
x = 2

Substitute x = 2 into 2x + 3y = −5:
4 + 3y = −5
3y = −9
y = −3

Solution: (x, y) = (2, −3).

Check: 7(2) − 3(−3) = 14 + 9 = 23, so it satisfies the second equation.