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1 vote
A set of equations is given below:

Equation C: y = 2x + 6
Equation D: y = 2x + 2

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

One solution
Two solutions
No solution
Infinitely many solutions

User Emccracken
by
5.9k points

2 Answers

3 votes
One solution.
Hope this helps.
User Abbas Fatullaev
by
7.0k points
3 votes

Answer:

no solution.

Explanation:

The given set of equations is

Equation C: y = 2x + 6

Equation D: y = 2x + 2

Comparing, both equations with slope intercept form of the line y = mx +b.

Here, m is slope and b is y-intercept of the line.

Thus, we have

slope of line C = 2

slope of line D = 2

Since, the slopes of these two lines are equal.

Hence, the lines are parallel and hence never intersect.

Therefore, the given set of equations has no solution.

User Ruchita Sheth
by
6.3k points
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