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?

Group of answer choices

No solution

One solution

Two solutions

Infinite solutions

Answer 1

Answer:

You can subtract the second equation from the first equation to eliminate y:

7x + y = 25 – 6x + y = 23: 7x – 6x = x; y – y = 0; 25 – 23 = 2

x = 2

You could also solve one equation for y and substitute that value in for y in the other equation:

6x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

Step-by-step explanation:

Two solutions

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