Answer:
x = 5
y = 3
Step-by-step explanation:
Given:
Two equations are given.
[tex]x + 2y = 11[/tex]
[tex]x - 2y = -1[/tex]
We need to solve the system of equations.
Solution:
Rewrite the equation as:
[tex]x + 2y = 11[/tex] ----------(1)
[tex]x - 2y = -1[/tex] ----------(2)
First we solve the equation 1 for x.
[tex]x=11-2y[/tex] ----------(3)
plug in [tex]x=11-2y[/tex] in equation 2.
[tex]11-2y-2y=-1[/tex]
[tex]11-4y=-1[/tex]
[tex]4y=11+1[/tex]
[tex]4y=12[/tex]
[tex]y=\frac{12}{4}[/tex]
y = 3
Now, we substitute y = 3 in equation 3.
[tex]x= 11-2(3)[/tex]
[tex]x=11-6[/tex]
x = 5
Therefore, Value of x = 5 and y = 3.
