Pair of Linear Equations — Part 1: Graphs and the number of solutions: visual lesson, CBSE Class 10 Mathematics (Standard 041 / Basic 241)

Lesson

Pair of Linear Equations, Part 1: Graphs

Two conditions, two lines — and the answer is where they meet.

In this lesson you will

One crossing point: one solution, $x = 4$, $y = 3$.

Concept

Concept

A linear equation in two variables has the form $ax + by = c$ ( $a$ , $b$ not both zero). A solution is a pair $(x, y)$ that makes it true.

Choose any $x$, work out $y$: every choice gives a solution.
$x$	$0$	$1$	$2$	$3$	$4$
$y$ from $2x + y = 8$	$8$	$6$	$4$	$2$	$0$