Answer:
x = 3, y = 3/2
Explanations:
The system of linear equations is:
x + 2y = 6........................(1)
5x + 2y = 18...................(2)
Make x the subject of the formula from equation (1)
x = 6 - 2y........................(3)
Substitute equation (3) into equation (2)
5(6 - 2y) + 2y = 18
30 - 10y + 2y = 18
30 - 8y = 18
8y = 30 - 18
8y = 12
y = 12/8
y = 3/2
Substitute the value of y into equation (3)
x = 6 - 2(3/2)
x = 6 - 3
x = 3
The solution to the system of equations is x = 3, y = 3/2