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Pair of Linear Equations in Two Variables questions for CBSE X

Lakshyank has 168 Pair of Linear Equations in Two Variables questions for CBSE X. Try a few below, then practise the rest free.

Question 1 Pair of Linear Equations in Two Variables · 2017

Are 3x+2y=5 and 2x−3y=7 consistent?

Question 2 Pair of Linear Equations in Two Variables · 2019

For real p,q not both zero, solve px+qy=p−q and qx−py=p+q.

Question 3 Pair of Linear Equations in Two Variables · 2019

Solve 15/(x−y)+22/(x+y)=5 and 40/(x−y)+55/(x+y)=13, with x≠±y.

Question 4 Pair of Linear Equations in Two Variables · 2024

Solve 2x+3y=7 and 4x+3y=11.

Question 5 Pair of Linear Equations in Two Variables · 2024

When do kx−y=2 and 6x−2y=3 have a unique solution?

Question 6 Pair of Linear Equations in Two Variables

If x=a,y=b solve x−y=2 and x+y=4, find a,b.

Question 7 Pair of Linear Equations in Two Variables

Two people have incomes in ratio 9:7 and expenditures in ratio 4:3. Each saves ₹2000 monthly. Find their monthly incomes.

Question 8 Pair of Linear Equations in Two Variables

Solve 2x+3y=11 and 2x−4y=−24; then find m such that y=mx+3.

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