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Linear equation in two variables

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For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither.

Line 1: -10x + 13y = 12
Line 2: -10x + 7y = -12

(4,4)
(-8, 4)
(-3, -6).

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https://brainmass.com/math/linear-algebra/linear-equation-variables-line-neither-360082

Solution Preview

Let us check for point (4, 4):
====================

Put x = 4, y = 4 in line 1

-10x + 13y = 12

-10(4) + 13(4) = 12

-40 + 52 = 12

12 = 12

Thus, (4, 4) lies on line 1

Now check for line 2

-10x + 7y = -12

-10(4) + 7(4) = -12

-40 + 28 = ...

Solution Summary

Linear equation in two variables is evaluated in this solution.

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