Question

Find ten solutions to the linear equation to the linear equation 1/2x+y=5

Answer 1

(0,5), (2,4), (4,3), (6,2), (8,1), (10,0), (12,-1), (14,-2), (16,-3), (18,-4), and (20,-5)

Explanation:

The given linear equation is :

`(1)/(2) x + y = 5`

Or

`y = - (1)/(2) x + 5`

Any ordered pair that satisfies this equation is a solution.

When x=0,

`y = - (1)/(2) * 0 + 5 = 5`

(0,5) is a solution

When x=2,

`y = - (1)/(2) * 2+ 5 = 4`

(2,4) is a solution.

When x=4,

`y = - (1)/(2) * 4+ 5 = 3`

(4,3) is a solution;

When x=6:

`y = - (1)/(2) * 6+ 5 = 2`

(6,2).

When x=8,

`y = - (1)/(2) * 8 + 5 = 1`

Another solution is (8,1)

When x=10,

`y = - (1)/(2) * 10 + 5 = 0`

(5,0) is a solution

When x=12,

`y = - (1)/(2) * 12+ 5 = - 1`

(12,-1) is a solution.

When x=14,

`y = - (1)/(2) * 14+ 5 = - 2`

When x=16, we get:

`y = - (1)/(2) * 16 + 5 = - 3`

When x=18, we get:

`y = - (1)/(2) * 18+ 5 = - 4`