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5 votes
(08.03)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 Denmch
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5.4k points

2 Answers

2 votes
hello : the system is :
y = 6x + 9
y = 6x + 2
6x+9=6x+2
9=2 false
conclusion ; no solution
User Eran Harel
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5.9k points
0 votes
These are parallel lines.
You can tell because the slope is the same but the y-intercept is different, meaning that the lines will never intercept.
When you have parallel lines, there are no solutions.
This is because solutions are where lines intercept.
No interception = No solution.

So the answer is B. No solution.

Hope this helps!
User Guillaume Gris
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5.4k points