Question

Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 {(-5, -3)} {(1, 1)} {(5, 3)}

Answer 1

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 2

Answer:

The solution is (5, 3)

Step-by-step explanation:

Given two equations

$x+2y=11....(1)$

$x-2y=-1...(2)$

we have to solve the above equations using elimination method.

Adding equation 1 and 2

$x+2y+x-2y=11-1$

$2x=10$

Dividing by 2, we get

$x=\frac{10}{2}=5$

(1) implies x+2y=11

$5+2y=11$

$2y=6$

$y=\frac{6}{2}=3$

hence, the solution is (5, 3)