Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The given linear equation is :

$\frac{1}{2} x + y = 5$

Or

$y = - \frac{1}{2} x + 5$

Any ordered pair that satisfies this equation is a solution.

When x=0,

$y = - \frac{1}{2} \times 0 + 5 = 5$

(0,5) is a solution

When x=2,

$y = - \frac{1}{2} \times 2+ 5 = 4$

(2,4) is a solution.

When x=4,

$y = - \frac{1}{2} \times 4+ 5 = 3$

(4,3) is a solution;

When x=6:

$y = - \frac{1}{2} \times 6+ 5 = 2$

(6,2).

When x=8,

$y = - \frac{1}{2} \times 8 + 5 = 1$

Another solution is (8,1)

When x=10,

$y = - \frac{1}{2} \times 10 + 5 = 0$

(5,0) is a solution

When x=12,

$y = - \frac{1}{2} \times 12+ 5 = - 1$

(12,-1) is a solution.

When x=14,

$y = - \frac{1}{2} \times 14+ 5 = - 2$

When x=16, we get:

$y = - \frac{1}{2} \times 16 + 5 = - 3$

When x=18, we get:

$y = - \frac{1}{2} \times 18+ 5 = - 4$