The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).What are the values of A and B

Given:

The equation goes through the coordinates (6,5) and (-2,-5).

To find:

The values of A and B.

Solution:

We have,

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

      ...(i)

      ...(ii)

Adding (i) and (ii), we get

Divide both sides by 4.

Put A=5 in (i), we get

Divide both sides by 5.

Therefore, the values of A and B are 5 and -4 respectively.

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