Respuesta :

texaschic101
x + 2y = 11
x - 2y = -1
---------------add
2x = 10
x = 10/2
x = 5

x + 2y = 11
5 + 2y = 11
2y = 11 - 5
2y = 6
y = 6/2
y = 3

solution is : (5,3)

Answer:

The solution is (5, 3)

Step-by-step explanation:

Given two equations

[tex]x+2y=11....(1)[/tex]

[tex]x-2y=-1...(2)[/tex]

we have to solve the above equations using elimination method.

Adding equation 1 and 2

[tex]x+2y+x-2y=11-1[/tex]

[tex]2x=10[/tex]

Dividing by 2, we get

[tex]x=\frac{10}{2}=5[/tex]

(1) implies x+2y=11

[tex]5+2y=11[/tex]

[tex]2y=6[/tex]

[tex]y=\frac{6}{2}=3[/tex]

hence, the solution is (5, 3)

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