The equation ax+by=10 goes through the coordinates (6,5) and (-2,-5) what is the value of a? what is the value of b?

The values of A and B of the given equation with the given coordinates are; A = 5 and B = -4

We are told the equation is;

Ax + By = 10

Since the equation goes through (6,5) and (-2,-5), then it means we have two simultaneous equations as;

6A + 5B = 10   (eq 1)

-2A - 5B = 10  (eq 2)

Add eq 1 to eq 2 to obtain;

4A = 20

A = 20/4

A = 5

Now, put 5 for A in eq 1 to get;

6(5) + 5B = 10

30 + 5B = 10

-5B = 30 - 10

-5B = 20

B = -20/5

B = -4

Thus, in conclusion, the values of A and B are 5 and -4 respectively.

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y=mx+b is the final answer!   : )

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions