Question

Determine the solution, if it exists, for each system of linear equations. Verify your solution on the coordinate plane.

{y=3x-5 y=-3x+7

Answer 1

(x, y) = (2, 1)

Explanation:

Adding the two equations gives ...

2y = 2

y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

0 = 6x -12

0 = x -2 . . . . divide by 6

2 = x

The solution is (x, y) = (2, 1).

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The attached graph verifies this solution.