Given that 3x + y = 6 and 2x + y = 5, determine the value of y

Powered by Froala Editor

To find the value of y, we can eliminate x by subtracting the second equation from the first:

(3x + y) - (2x + y) = 6 - 5

Simplify each side;

3x + y - 2x - y = 1

3x - 2x = 1 + y - y

x = 1

Now substitute x=1 into either of the original equations to find y. Let's use the second equation:

2x + y = 5

2(1) + y = 5

2 + y = 5

Therefore: 

y = 5 - 2

y = 3

Powered by Froala Editor