Question

If you were to graph the equation y= -x +1 and graph the equation y= 2/3x - 4 on the same coordinate grid,-which ordered pair would be the solution to the system of equations? A. (-2, 3)B. (15, -14)C. (3, -2)D. (-9, 10)

Answer 1

(-3,2)

1) To find that solution, i.e. a point that both lines have in common, let's solve it

y= -x +1

y=2/3x -4

2) Rearranging into standard form:

x+y=1 Multiply by -1

-2/3x +y= -4

-x-y=-1

-2/3x +y= -4

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-5/3x = -5 Multiply both sides by 3 to eliminate the fraction

-5x = -15

x=3

Plugging into the simpler equation y=-x+1

y= -3 +1

y=-2

3) So the answer is C (-3,2) the common point to both lines. Both lines pass through point( -3,2)