Question

Consider the following system of equations:

Answer 1

Hi there!  

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I believe your answer is:  

"Line y = −2x + 3 intersects line y = x − 5."  

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Here’s why:  

• When the system of equations are graphed, they would intersect at a point.
• This means that there is a solution to the system. The solution is $(\frac{8}{3} ,-\frac{7}{3} )$.
• While the statement that the lines intersect the x-axis is true, the question asks the statement that describes the solution.
• The solution is the point of intersection between the two lines.

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See the Graph Attached

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Hope this helps you. I apologize if it’s incorrect.