The x-coordinate of the point which lies on the line represented by 3x−y−1=0 and whose y-coordinate is 5, is :
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Step-by-Step Solution
Step 1: Identify the given equation and y-coordinate
We are given the equation of a line, which is 3x−y−1=0. We are also told that a point on this line has a y -coordinate of 5. Our goal is to find the x -coordinate of this point.
Step 2: Substitute the y-coordinate into the equation
Since the point lies on the line, its coordinates must satisfy the equation of the line. We substitute the given y -coordinate, which is 5, into the equation 3x−y−1=0.
Step 3: Simplify the equation
Now, we simplify the equation by performing the subtraction: 5+1=6. This gives us a simpler linear equation in terms of x.
Step 4: Solve for x
To solve for x, we first move the constant term to the right side of the equation by adding 6 to both sides. Then, we divide both sides by 3 to isolate x.