Question

Use substitution to solve the linear system of equations.

Answer 1

Answer:

The solution is (4,-2)

Step-by-step explanation:

Given system of equations:

$x=4$

$-y=\frac{1}{2}x$

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.

$-y=\frac{1}{2}(4)$

$-y=\frac{4}{2}$

$-y=2$

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)