Question

What is the solution to this system of linear equations? X-3y=-2 and x-3y=16

Answer 1

NO SOLUTION

Explanation:

Two equations of the system of linear equations has been given as x - 3y = -2 and x - 3y = 16

if we see in these equations slopes are same for both.

x - 3y = -2

+3y = +2 +x

y =
`(1)/(3)`x +
`(2)/(3)`

slope m₁ =
`(1)/(3)`

x - 3y = 16

-3y = 16-x

3y = x - 16

y =
`(1)/(3)`x -
`(16)/(3)`

slope m₂ =
`(1)/(3)`

so m₁ = m₂ =
`(1)/(3)`

These lines are parallel to each other.

Since parallel lines don't intersect each other so there is NO SOLUTION for this system of equation.

Answer 2

No solution

Explanation:

Equations:

x - 3y = -2

x - 3y = 16

Subtract:

0 - 0 = -18

Answer:

No solution