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Solve the system of equations. y = 7x - 9 y = 7x 7

a) (-4, 1)
b) (-4, -1)
c) (4, 1)
d) No solution

User Madcow
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1 Answer

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Final answer:

The equations y = 7x - 9 and y = 7x + 7 form a parallel system, indicating that there is no intersection point and therefore no solution to the system.

Step-by-step explanation:

The student has presented two equations, y = 7x - 9 and y = 7x + 7, which form a system of equations. To solve this system, we must find the value of x that makes both equations true. However, upon inspection, we see that for any given x, the value of y in the first equation will always be 16 units less than the value of y in the second equation due to the differing constants (-9 and +7, respectively). This implies that the two lines are parallel and will never intersect, leading to the conclusion that there is no solution to this system of equations.

User Monicka Akilan
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