226k views
8 votes
How many solutions exists for the given equation?
3x+13=3(x+6)+1

2 Answers

11 votes

Answer:

No solutions

Explanation:

3x + 13 = 3 (x + 6) + 1

3x + 13 = 3x + 18 + 1

3x + 13 = 3x + 19

3x + 13 = 3x + 19 meaning no solution since they aren't equivalent to each other

User Sycx
by
8.3k points
6 votes

Answer:

No Solutions.

Explanation:

original equation

3x+13 = 3(x+6)+1

distribute 3

3x+13 = 3x+18+1

simplify

3x+13 = 3x+19

since the slope is the same for both equations and the y-intercept is different the two equations are parallel meaning they will never intersect so there are no solutions.

User Vivek Ayer
by
8.4k points

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