Notes Ad
Sponsored Learning Banner

Ad placement reserved for chapter sponsors, education tools, test prep platforms, and student offers.

Linear Equations in Two Variables Practice

Solve chapter-level practice questions for Linear Equations in Two Variables with reveal-only solutions and quick revision support.

Study Ad
Inline Chapter Banner

Reserved space for student-focused ads, learning tools, scholarships, and exam prep promotions.

Practice Set 1 — Solutions of Linear Equations

Standard form, finding ordered-pair solutions, checking solutions.

Attempted 0/6
Correct 0
Q1. Write $y = 2x - 3$ in the standard form $ax + by + c = 0$ and state a, b, c.
Q2. Find three solutions of $x + 2y = 8$.
Q3. Check whether (3, −2) is a solution of $2x + 5y = -4$.
Q4. How many solutions does the equation $3x - y = 7$ have?
Practice Ad
Between-Questions Banner

This inline ad slot appears during practice so monetization continues inside revision flow.

Q5. Find the value of k if (2, 3) is a solution of $kx + 3y = 13$.
Q6. Express the statement 'the cost of a pen is twice the cost of a pencil' as a linear equation in two variables (pen ₹x, pencil ₹y).

Practice Set 2 — Graphs and Special Lines

Drawing graphs, intercepts, and lines parallel to the axes.

Attempted 0/6
Correct 0
Q1. Find the points where the graph of $2x + 3y = 6$ meets the x-axis and the y-axis.
Q2. Describe the graph of $x = -2$ in the Cartesian plane.
Q3. Describe the graph of $y = 4$.
Q4. Does the line $y = 3x$ pass through the origin? Give a reason.
Practice Ad
Between-Questions Banner

This inline ad slot appears during practice so monetization continues inside revision flow.

Q5. The graph of a linear equation passes through (0, 2) and (2, 0). Find its equation.
Q6. Draw (describe) the graph of $x - y = 0$.

Quick Q&A Before You Revise

How many solutions does a linear equation in two variables have?

Infinitely many. Each choice of a value for one variable gives one value of the other, and every such pair is a solution corresponding to a point on the line.

Why is the graph of ax + by + c = 0 always a straight line?

Because as x changes by a fixed amount, y changes by a fixed amount (the ratio is constant), which is exactly the property of a straight line.

Is x = 5 a linear equation in one variable or two?

It depends on context. On the number line it locates one point. In the Cartesian plane it is treated as 1·x + 0·y = 5 and its graph is a vertical line.

How many points are needed to draw the graph of a linear equation?

Two points are enough to fix a line, but it is good practice to plot a third point as a check that all three are collinear.

Study Ad
End of Chapter Banner

Ad slot placed after the chapter body so reading flow is never interrupted.

Struggling with Linear Equations in Two Variables?
Book a free 1:1 demo with a Maths tutor and get chapter-wise help that matches your pace.
Book a Free Demo
Notes Ad
End of Notes Banner

This inventory appears across Class 9 and Class 10 notes so ads remain visible throughout the study journey.