Question

Solve the system of equations below:

2x + 3y = 5

2x + 4y = 9



A) x =

B) y =

Answer 1

Given equations:

2x + 3y = 5

2x + 4y = 9

Step 1: Subtract equation (1) from equation (2) to eliminate x:

(2x + 4y) - (2x + 3y) = 9 - 5

Simplify: y = 4

Step 2: Substitute y = 4 into equation (1) to solve for x:

2x + 3(4) = 5

2x + 12 = 5

Simplify: 2x = -7

x = -7/2

The solution is:

A) x = -7/2

B) y = 4

Explanation: