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Solve the system algebraically.

3x - 2y - 1 = 0 y = 5x + 4

What is the solution?

A:{(-9/7,-17/7)}
B:{(9/7.17/7)}
C:{(9/7,-17-7)}

1 Answer

5 votes

Answer:

A:{(-9/7,-17/7)}

Explanation:

3x - 2y - 1 = 0 ⇒ 3x - 2y = 1

y = 5x + 4

then:

3x - 2(5x+4) = 1

3x - 2*5x - 2*4 = 1

3x - 10x - 8 = 1

-7x = 1 + 8

7x = 9

x = -9/7

y = 5x + 4

y = 5(-9/7) + 4

y = -45/7 + 4

y = -45/7 + 28/7

y = -17/7

Answer:

A:{(-9/7, -17/7)}

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