Quiz about Linear Equations In Two Variables

Question 1

Solve the following pair of linear equations by the substitution method.
 $$\frac{3 x}{2}-\frac{5 y}{3}=-2$$
$$\frac{x}{3}+\frac{y}{2}=\frac{13}{6}$$

Accepted Answer

Covalent bond

Question 2

Solve 
$$2 x+3 y=11$$ and 
$$2 x-4 y=-24$$ 
and hence find the value of $$m$$ for which 
$$y=m x+3$$

Accepted Answer

Covalent bond

Question 3

Form the pair of linear equations for the following problems and find their solution by substitution method.The larger of two supplementary angles exceeds the smaller by $$18$$ degrees. Find them.

Accepted Answer

Covalent bond

Question 4

Form the pair of linear equations for the following problems and find their solution by substitution method. The coach of a cricket team buys $$7$$ bats and $$ 6$$ balls for $$ Rs.~3800. $$ Later, she buys $$3$$ bats and $$5$$ balls for $$Rs.~ 1750$$ . Find the cost of each bat and each ball.

Accepted Answer

Covalent bond

Question 5

Form the pair of linear equations for the following problems and find their solution by substitution method.The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $$10 {~km}$$, the charge paid is $$Rs .~105~$$ and for a journey of $$15 {~km}$$, the charge paid is $$Rs .~155$$ . What are the fixed charges and the charge per $${km}$$ ? How much does a person have to pay for travelling a distance of $$25~km$$?

Accepted Answer

Covalent bond

Ncert Textbook Linear Equations In Two Variables Gseb Class 10 Maths Problems and Solutions

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