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

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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

The system has one solution.

Step-by-step 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

[tex]\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}[/tex]

[tex]\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8[/tex]

[tex]\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}[/tex]

[tex]\frac{5x}{63} = \frac{82}{9}[/tex]

[tex]45x = 63*82[/tex]

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

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

[tex]How could you use coordinate geometry to prove that bc = ad? prove the slopes are the same. prove t[/tex]

Letter a i would say

[tex]In the diagram below, ab is parallel to cd. what is the value y? a.150b.50c.60d.30[/tex]