Q. 163.5( 2 Votes )

# The runs scored by two batsmen in a cricket match are 164. Write a linear equation in two variables x and y. Also write a solution of this equation.

Answer :

Let the runs scored by the first batsman be x

And,

Let the runs scored by the second batsman be y

The total runs scored are 164 which will be the sum of runs scored by both the batsmen, i.e.,

x + y = 164

Let x = 100 then, x + y = 164

⇒ 100 + y = 164

⇒ y = 164 – 100

⇒ y = 64

Therefore, (100, 64) is a solution of x + y = 164

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSDraw the graph of 2x – 3y = 4. From the graph, find whether x = – 1, y = – 2 is a solution or not.NEXTFind whether the given statement is true or false:(i) x = 2, y = 3 is a solution of the equation 5x – 3y = 1.(ii) y = 2x + 5 is a straight line passing through the point (1, 5).(iii) The area bounded by the line x + y = 6, the x-axis and the y-axis is 18 sq units.

Related Videos

Goprep Genius Quiz on Linear Equations34 mins

Interactive session on Linear Equations in Two VariablesFREE Class

NCERT | Linear Equations41 mins

Quiz | Testing Your Skills on Linear Equation in Two Variables36 mins

Quiz | Important Questions on Linear Equations In Two Variables49 mins

Quiz | Imp. Qs. on Linear Equations44 mins

Champ Quiz | Do you Know about Linear Equations ?35 mins

Master Linear Equations40 mins

Champ Quiz | Linear Equation45 mins

Champ Quiz | Equations of Motion36 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Express y in terms of x, given that Check whether ( – 5, 2) is a solution of the given equation.

RS Aggarwal & V Aggarwal - MathematicsWrite two solutions for each of the following equations:

(i) 3*x*+4*y* =7

(ii) *x*=6*y*

(iii) *x*+π*y* =4

(iv) *x*-*y* =4

How many linear equations are satisfied by *x*=2 and *y*=-3?

If (2*k*-1,*k*) is a solution of the equation 10*x*-9*y*=12, then *k*=

If (*a*,4) lies on the graph of 3*x*+*y*=10, then the value of *a* is