Question

Workout the values of x and y, 2x+3y=53, 3x-y=19

Answer 1

x = 10, y = 11

Explanation:

Substitution method:

2x + 3y = 53 --1

3x - y = 19 --2

Make y the subject.

From 2:

y = 3x - 19 --3

Substitute 3 into 1:

2x + 3(3x - 19) = 53

Simplify the equation.

2x + 9x - 57 = 53

11x = 110

x = 10

Substitute x = 10 into 3 to find y.

y = 3(10) - 19

= 30 - 19

= 11

Hence, x = 10, y = 11.