3x+2y=5 and 12x+8y=7

3x+2y=5 and 12x+8y=7 will bring which solution sets and intersection?
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1 Answer

4(3x+2y)=4*5=20 but 12x+8y=7. Since 20 is not equal to 7, we have two parallel lines (same slope) and the lines don't intersect. The solution set is the null or empty set and there is no intersection.

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