Determine whether the point (1, -3) lies on the line represented by the equation 2x + 3y = 7
Question
Determine whether the point (1, -3) lies on the line represented by the equation 2x + 3y = 7
Solution
Sure, to determine whether the point (1, -3) lies on the line represented by the equation 2x + 3y = 7, we can substitute the x and y values of the point into the equation. If the equation holds true, then the point lies on the line.
Step 1: Substitute x = 1 and y = -3 into the equation.
2(1) + 3(-3) = 7
Step 2: Simplify the equation.
2 - 9 = 7
Step 3: Simplify further.
-7 = 7
The equation does not hold true, so the point (1, -3) does not lie on the line represented by the equation 2x + 3y = 7.
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