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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Tutor-Verified Answer
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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