Advertisement Remove all ads

# Solve the following simultaneous equations.x3+y4=4 ; x2-y4=1 - Algebra

Advertisement Remove all ads
Advertisement Remove all ads
Sum

Solve the following simultaneous equations.
x/3 + y/4 = 4; x/2 - y/4 = 1

Advertisement Remove all ads

#### Solution

x/3 + y/4 = 4                                .....(I)

x/2 - y/4 = 1                                ......(II)

Multiplying (I) with LCM of 3 and 4 which is 12, we get
4x + 3y = 48                              .......(III)
Multiplying (II) with LCM of 2 and 4 which is 4, we get
2x - y = 4                                     .......(IV)
Multiplying (IV) with 2
4x - 2y = 8                                  .......(V)
Subtracting (V) from (III)
5y = 40
⇒ y = 8

Putting this value of y in (IV) we get
2x - 8 = 4
⇒ 2x = 12
⇒ x = 6.

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method
Is there an error in this question or solution?
Advertisement Remove all ads

#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 5 Linear Equations in Two Variables
Problem Set 5 | Q 4.1 | Page 91
Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?