Which of the following is a solution to the equation y=5x−3

(−2,−13)

(1,−2)

(−3,12)

(4, 23)

1 answer

To determine if a point is a solution to the equation y=5x-3, we substitute the x and y values of the point into the equation and see if the equation holds true.

For point (−2,−13):
y = 5x - 3
-13 = 5(-2) - 3
-13 = -10 - 3
-13 = -13

The equation holds true for point (−2,−13).

For point (1,−2):
y = 5x - 3
-2 = 5(1) - 3
-2 = 5 - 3
-2 = 2

The equation does not hold true for point (1,−2).

For point (−3,12):
y = 5x - 3
12 = 5(-3) - 3
12 = -15 - 3
12 = -18

The equation does not hold true for point (−3,12).

For point (4, 23):
y = 5x - 3
23 = 5(4) - 3
23 = 20 - 3
23 = 17

The equation does not hold true for point (4, 23).

The only point that is a solution to the equation y=5x-3 is (−2,−13).
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