Question

Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1

Answer 1

x = 1
`(1)/(6)`, y = 3
`(2)/(3)`

Explanation:

y = -2x + 6 --- Equation 1

y = 4x - 1 --- Equation 2

Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.

-2x + 6 = 4x - 1

Isolate the like terms.

6 + 1 = 4x + 2x

Evaluate like terms.

6x = 7

Find x.

x =
`(7)/(6)`

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

Substitute x =
`(7)/(6)` into Equation 2:

y = 4x - 1

y = 4(
`(7)/(6)`) - 1

= 4
`(2)/(3)` - 1

y = 3
`(2)/(3)`