The x-coordinate of the point which lies on the line represented by $3x - y - 1 = 0$ and whose y-coordinate is 5, is :

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 $x$.

More from this chapter

• Find the distance between the points (1, 2) and (4, 6).
• Show that the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square.
• The distance of ( - 4, 7) from y-axis is:
• Find the equations of the lines parallel to axes and passing through ( -2, 3).
• In the Cartesian coordinate plane shown, plot the points A(2,3), B(-2,-1), and C(2,-3), and connect them in order A→ B→ C. Then find the area of ABC.
• Find the distance between the points (3, 4) and (-3, -4).

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