QuestionJuly 15, 2025

Is (3,-2) a solution to the following system of equations? y=(1)/(3)x-3 y=-x+1 No Yes

Is (3,-2) a solution to the following system of equations? y=(1)/(3)x-3 y=-x+1 No Yes
Is (3,-2) a solution to the following system of equations?
y=(1)/(3)x-3
y=-x+1
No
Yes

Solution
4.5(203 votes)

Answer

Yes Explanation 1. Substitute into the first equation Substitute x = 3 and y = -2 into y = \frac{1}{3}x - 3: -2 = \frac{1}{3}(3) - 3 Simplifies to -2 = 1 - 3, which is true. 2. Substitute into the second equation Substitute x = 3 and y = -2 into y = -x + 1: -2 = -(3) + 1 Simplifies to -2 = -3 + 1, which is true.

Explanation

1. Substitute into the first equation<br /> Substitute $x = 3$ and $y = -2$ into $y = \frac{1}{3}x - 3$: <br /> $-2 = \frac{1}{3}(3) - 3$<br /> Simplifies to $-2 = 1 - 3$, which is true.<br /><br />2. Substitute into the second equation<br /> Substitute $x = 3$ and $y = -2$ into $y = -x + 1$: <br /> $-2 = -(3) + 1$<br /> Simplifies to $-2 = -3 + 1$, which is true.
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