Question

Consider the following set of equations:

Equation C: y = 2x + 8
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?

No solution
One solution
Two solutions
Infinite solutions

Answer 1

Option 1 - No solution

Explanation:

Given : Equation C :
`y = 2x + 8`

Equation D :
`y = 2x + 2`

To find : Which of the following best describes the solution to the given set of equations?

Solution :

We have to first find the solution of the given equations,

Equate equation C and D,

`2x + 2=2x+8`

`2=8`

Which is not possible.

Which means the given equation has no solutions.

Therefore, Option 1 is correct.