Answer:
The solution is (4,-2)
Step-by-step explanation:
Given system of equations:
[tex]x=4[/tex]
[tex]-y=\frac{1}{2}x[/tex]
To solve the system of equations using substitution.
Solution:
We will substitute the value of [tex]x[/tex] given in the first equation in the second equation to solve for [tex]y[/tex].
Substituting [tex]x=4[/tex] in second equation.
[tex] -y=\frac{1}{2}(4)[/tex]
[tex] -y=\frac{4}{2}[/tex]
[tex] -y=2[/tex]
Multiplying both sides by -1 to isolate positive [tex]y[/tex] on the left.
[tex] -y(-1)=2(-1)[/tex]
[tex]y=-2[/tex] [Two negatives multiply to become positive]
So, the solution is [tex]x=4[/tex] and [tex]y=-2[/tex].
The solution in order pair is (4,-2)
