Solve for x and y:
2x + 3y = 7
3x - y = 5
A) x = 6; y = 2
B) x = - 2; y = 1
C) x = - 2; y = - 1
D) x = 2; y = 1
E) x = 2; y = - 1

Question

Solve for x and y: 
2x + 3y = 7
3x - y = 5
A) x = 6; y = 2
B) x = - 2; y = 1
C) x = - 2; y = - 1
D) x = 2; y = 1
E) x = 2; y = - 1

Quizplus · Accepted Answer

To solve the system of equations, we can use the method of substitution or elimination. Here, we'll use elimination. Multiply the second equation by 3 to eliminate y: 3(3x - y) = 3(5), which gives 9x - 3y = 15. Now, add this to the first equation: 2x + 3y + 9x - 3y = 7 + 15, simplifying to 11x = 22, so x = 2. Substitute x = 2 into one of the original equations, for example, 3x - y = 5: 3(2) - y = 5, which simplifies to 6 - y = 5, so y = 1.

Solve for X and Y