Goodwin Schultz
12/24/2023 · Primary School

The equation of a line is \( x+2=3 x-y \). Where does this line cut the \( X \)-axis? A -2 B 2 C -1 D 1

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Step-by-step Solution

To find where the line cuts the \( X \)-axis, we need to determine the point where \( y = 0 \). Starting with the given equation of the line: \[ x + 2 = 3x - y \] We can rearrange this equation to isolate \( y \): \[ y = 3x - (x + 2) \] Simplifying this gives: \[ y = 3x - x - 2 \] \[ y = 2x - 2 \] Now, to find the \( X \)-intercept, we set \( y = 0 \): \[ 0 = 2x - 2 \] Solving for \( x \): \[ 2x = 2 \] \[ x = 1 \] Thus, the line cuts the \( X \)-axis at \( x = 1 \). The answer is \( \boxed{1} \).

Quick Answer

The line cuts the \( X \)-axis at \( x = 1 \). Therefore, the correct answer is D. 1.
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