The equations y=−x+4andy=12x−8y =21x−8 form a system of linear equations. The table below shows the y-value for each equation at six different values of x. xy=−x+4y=12x−804−822−740−66−2−58−4−410−6−3 What can you conclude from the table? A. The system has one solution, when x=0. B. The system has one solution, when x=4. C. The system has one solution, when x=8. D. The system has no solution.

Question

The equations y=−x+4andy=12x−8y  =21x−8 form a system of linear equations.  The table below shows the y-value for each equation at six different values of x. xy=−x+4y=12x−804−822−740−66−2−58−4−410−6−3 What can you conclude from the table?  A. The system has one solution, when x=0.  B. The system has one solution, when x=4.  C. The system has one solution, when x=8.  D. The system has no solution.

Macsen Nixon · Accepted Answer

A solution to the system is when y has the same value in both equations for the same value of x. We see that is only true when x=8.

What can you conclude from the table? A. The system has one solution, when x=0. B. The system has one solution, when x=4.

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