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solving the systems of linear equations by substitution.x+2y=65x+2y=18

Sagot :

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