true

Take Class 10 Tuition from the Best Tutors

• Affordable fees
• 1-1 or Group class
• Flexible Timings
• Verified Tutors

Search in

# SIMALTANIUS EQUATIONS

Ramakrishna Dhooli
24/12/2018 0 0

If two linear equations are given, then we can find the values of variables, by solving those equations simultaneously.

2x+3y=10---(1)

x-3y=8-------(2)

These are the two linear equations, we can find the values of variables x&y, by solving those equations

simultaneously.

Method:-

1) identify out of two variables here x and y, the coefficient of any variable is equal in both the equations.

2) if similar go to the 3rd step, if not same, make the co-efficient either one variable in both equations equivalent by multiplying through either one or both the equations.

3) Either add or subtract the equations to eliminate the corresponding coefficient variable.

4) Find the value of one variable first.

5)Next, find the value of another variable by substituting the importance of the first found variable in either equation.

Solutions:- In above-given equations, the coefficient of y is the same, i.e. 3 in both equations.

Hence Adding the equations (1) and (2) we get

2x+3y=10---(1)

x-3y=8-------(2)

------------------------

3x    =18

∴ x   =18/3=6

now by substituting the value of x in equation (1)

2(6) +3y = 10

∴ 12 + 3y = 10

∴  3y = 10 - 12

∴  3y = 2

∴  y = 3/2

∴ x=6 and  y = 3/2 are solutions of given simultanious equations.

0 Dislike

## Other Lessons for You

Thale's Theorem And Its Converse.
In a triangle if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points then it divides the two sides in the same ratio. This theorem is popularly known...

Arithmetic Progression Examples
Arithmetic Progression Examples. Q: A man starts repaying a loan, with Rs 100 being its first instalment. If he increases the instalment by Rs 5/- every month,...

Number System
Natural Numbers: The set of counting numbers is called natural numbers. It is denoted by N, where N = {1,2,3, …..} Whole Numbers: when zero is included in the set of natural numbers, then it is...

X- Maths-1. Sets and Functions
1.3 - Cardinality of sets 1. Let A,B, C are the three sets, then n(A)=17, n(B)=17, n(C)=17, n(BnC)=6, n(AnC)=5, and n(AnBnC)=2 then find n(AUBUC). Solution: n(AUBUC). = n(A) + n(B) + n(C) - n(AnB)-....

Tips for Studying Calculus
Calculus is considered to be one of the most difficult classifications of advanced mathematics. In order to do well in calculus you need to have strong base and knowledge of algebra and trigonometry. Learning...
T

Tutorcomp

### Looking for Class 10 Tuition ?

Learn from Best Tutors on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

X

### Looking for Class 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

• Select the best Tutor
• Book & Attend a Free Demo
• Pay and start Learning

### Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 Tuition Classes are on UrbanPro