10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

Which of the following is a solution of the equation \[3x+5y=8\]?

A) \[x=1,\,y=0\]

B) \[x=0,\,y=1\]

C) \[x=1,\,y=1\]

D) \[x=0,\,y=0\]

Correct Answer: C

Solution :

[c] The given equation is \[3x+5y=8\]

[a] When x =1and y =0

\[LHS=3(1)+5(0)=3\ne RHS\]

[b] When \[x=0\] and \[y=1\]

\[LHS=3(0)+5(1)=5\ne RHS\]

[c] When\[x=1\] and \[y=1\]

\[LHS=3(1)+5(1)=8=RHS\]

[d] When \[x=0\] and \[y=0\]

\[LHS=3(0)+5(0)=0\ne RHS\]

Hence, the values given in option [c] is the solution of the given equation.