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Solving the system linear equation by substitution 2x-8y=10x=4y+7

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Answer:

No solution

Explanations:

The given system of equations is:

2x - 8y = 10......................(1)

x = 4y + 7.............................(2)

Substitute equation (2) into equation (1)

2(4y + 7) - 8y = 10

8y + 14 - 8y = 10

8y - 8y = 10 - 14

0 = -4 ( This is false)

This means that the system of equations has no solutions

Also by oberving the two equations, we would see that they are parallel equations because they have equal slope (1/4). A system of parallel equations has no solution since there is no point of intersection.

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User Aliki
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