Question

Consider the system of linear equations.

x+y=9.0

0.50x + 0.20y = 4.05

Find the values of x and y.

Answer 1

• Answer:

x = 7.5

y = 1.5

• Explanation:

x + y = 9.0 => x = 9 - y

0.50x + 0.20y = 4.05

0.5(9 - y) + 0.2y = 4.05

4.5 - 0.5y + 0.2y = 4.05

4.5 - 4.05 = 0.5y - 0.2y

0.45 = 0.3y

y = 0.45 : 0.3

y = 1.5

x = 9 - 1.5

x = 7.5