Question

Use substitution to solve the linear system of equations.

x=4
-y=1/2x

(4, -2)
(-2, 4)
(4, 2)
(2, -4)

Answer 1

The solution is (4,-2)

Explanation:

Given system of equations:

`x=4`

`-y=(1)/(2)x`

To solve the system of equations using substitution.

Solution:

We will substitute the value of
`x` given in the first equation in the second equation to solve for
`y`.

Substituting
`x=4` in second equation.

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

`-y=(4)/(2)`

`-y=2`

Multiplying both sides by -1 to isolate positive
`y` on the left.

`-y(-1)=2(-1)`

`y=-2` [Two negatives multiply to become positive]

So, the solution is
`x=4` and
`y=-2`.

The solution in order pair is (4,-2)