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Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.

User Sudhir Jonathan
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1 Answer

13 votes
13 votes

Answer:

0 solutions

Explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

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The equations can be put into slope-intercept form by eliminating the parentheses.

6(x +2) = y ⇒ y = 6x +12

y = 3(2x +3) ⇒ y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.-example-1
User Jeffrey Sarnoff
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2.8k points