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The system of equations y = 5x –4 and y = 7x – 3 has

1 Answer

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Answer:

Explanation:

Given the system of equation:

y = 5x –4 and y = 7x – 3

Since both functions are functions of x with the same output as y, we can equate both as shown:

5x-4 = 7x-3

collect like terms

5x-7x = -3+4

-2x = 1

x = -1/2

Substitute x = -1/2 into any of the equation

y = 5x-4

y = 5(-1/2)-4

y = -5/2 - 4

y = (-5-8)/2

y = 13/2

Since x = -1/2 and y = -13/2, this shows that the system of equation jhas only one solution.

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