MEDIUM
10th CBSE
IMPORTANT
Earn 100

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:

x-y=8 and 3x-3y=16

Important Questions on Pair of Linear Equations in Two Variables

EASY
10th CBSE
IMPORTANT
Given the linear equation 2x+3y-8=0, write another linear equation in two variables x and y such that the geometric representation of the pair so formed is intersecting lines.
EASY
10th CBSE
IMPORTANT
Given the linear equation 2x+3y-8=0, write another linear equation in two variables x and y such that the geometric representation of the pair so formed is parallel lines.
EASY
10th CBSE
IMPORTANT
Given the linear equation 2x+3y-8=0, write another linear equation in two variables x and y such that the geometric representation of the pair so formed is
MEDIUM
10th CBSE
IMPORTANT

Draw the graphs of the following equations :

2x-y=1, x + 2y = 13

Find the solution of the equations from the graph and shade the triangular region formed by the lines and the y-axis.

MEDIUM
10th CBSE
IMPORTANT

Solve the following pair of linear equations graphically:

x+2y=8, 2x-3y=2

Also, shade the triangular region formed by the lines obtained in the graph and y-axis.

HARD
10th CBSE
IMPORTANT

Solve the following system of linear equations graphically:

2x-3y = 1, 3x-4y=1

Does the point (3, 2) lie on any of the lines? Write its equation.

HARD
10th CBSE
IMPORTANT

Solve graphically the pair of equations 2x+3y=11 and 2x-4y=-24. Hence find the value of m, given that the line represented by y=mx+3 passes through the intersection of the given pair.

HARD
10th CBSE
IMPORTANT

Draw the graphs of the equations x-y+1=0 and 3x+2y-12=0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.