Home
Class 10
MATHS
Solve the following system of equatio...

Solve the following system of equations by using the method of elimination by equating the coefficients: `8x+5y=9,\ \ \ 3x+2y=4`

Text Solution

AI Generated Solution

To solve the system of equations using the method of elimination by equating the coefficients, we will follow these steps: Given equations: 1. \( 8x + 5y = 9 \) (Equation 1) 2. \( 3x + 2y = 4 \) (Equation 2) ### Step 1: Make the coefficients of \(x\) equal To eliminate \(x\), we need to make the coefficients of \(x\) in both equations equal. We can do this by multiplying Equation 1 by 3 and Equation 2 by 8. ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3a|18 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3A|8 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of equations by using the method of elimination by equating the coefficients: 3x+2y=11 ,\ \ \ 2x+3y=4

Solve the following system of equations by using the method of elimination by equating the coefficients: x/(10)+y/5+1=15 and x/8+y/6=15

Solve using the method of elimination by equating coefficients : 3x - 4y = 10 and 5x - 3y = 24

Solve the following system of equations by using the method of substitution: 2x+3y=9,\ \ \ 3x+4y=5

Solve the following system of equations by using the method of substitution: 3x-5y=-1,\ \ \ x-y=-1

Solve using the method of elimination by equating coefficients : x + y = 3.3 and ( -0.6 )/(3x - 2y) = 1.

Solve the following system of equations by using the method of substitution: x+2y=-1,\ \ \ 2x-3y=12

Solve the following system of equations by using the method of cross-multiplication: x+y=7,\ \ \ \ 5x+12 y=7

Solve the following pair of linear equations using method of elimination by equating coefficients . {:((x-y)/(6)=2(4-x)),(2x+4=3(x-4)):}

Solve the following system of equations by using the method of cross multiplication 2x + 3y = 7 and 6x + 5y = 11.