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I need to figure out how many solutions does the system of equations below have.

y=6/7x-8 and y=7/9x+10/9

User Kevik
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1 Answer

27 votes
27 votes

Answer:

The system has one solution.

Explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

So


(6x)/(7) - 8 = (7x)/(9) + (10)/(9)


(6x)/(7) - (7x)/(9) = (10)/(9) + 8


(54x - 49x)/(63) = (10)/(9) + (72)/(9)


(5x)/(63) = (82)/(9)


45x = 63*82

Both a and b are different of 0, so the system has one solution.

User Hmunoz
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