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5 votes
A set of equations is given below:

Equation C: y = 6x + 9
Equation D: y = 6x + 2

Which of the following options is true about the solution to the given set of equations?

One solution
No solution
Two solutions
Infinite solutions

User Elnoor
by
7.1k points

2 Answers

0 votes
y = 6x + 9

y = 6x + 2

Therefore y = 6x + 9 = 6x + 2

6x + 9 = 6x + 2

6x - 6x = 2 - 9

0 = -7. This is not true.

So there is:

No Solution
User Sergio Vela
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7.5k points
2 votes
As we can see, both equations have the same slope but different y-intercepts. This means that both lines are parallel.

If both lines had the same slope and the same y-intercept, they would be essentially the same line, and that would mean infinite solutions.

But, we have the same slope and different y-intercepts. This means that the lines are parallel, and thus have no solution.

Your answer is B. No Solution.
User Xhadon
by
7.9k points