Question

Solve the pair of simultaneous equations and leave the answer as a fraction in

its lowest term. 2x − 3 = y, x+ y= 8​

Answer 1

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3