Solve the System of Equations: y = (1)/(6)x + 6 y = (1)/(3)x + 2

Question

Solve the System of Equations:

y =
`(1)/(6)`x + 6

y =
`(1)/(3)`x + 2

Answer 1

(x;y)=(24;10)

y = 1/6 * x + 6; y = 1/3 * x + 2

Substitute the given value of y into the equation y = 1/3 * x + 2

1/6 * x + 6 = 1/3 * x + 2

Solve the equation for x

x = 24

Substitute the given value of x into the equation y = 1/3 * x + 2

y = 1/3 * 24 + 2

Solve the equation for y

y = 10