Solve using elimination. 2x + 6y = 6, 2x + 3y = 12.

Question:

Solve using elimination. 2x + 6y = 6, 2x + 3y = 12.

Elimination Method in Algebra: Definition & Examples

Elimination Method:-If there is linear equations of two variable in the form of ax+by+c=0 and a'x+b'y+c'=0 , then we solve the system of linear equations by using elimination method as follow:-

(1) Multiply the given equations by suitable constant so as to make the coefficients of the variables to be eliminated equal.

(2) Add the new equation if the terms having the same coefficient are opposite sign and if the same coefficient are of opposite sign then subtract new equation .

(3) Solve the equation

(4)Substitute the value found in any one of the given equations

(5) Solve it to get the value of other variable

Answer and Explanation:

Here, 2x+6y=6..............................Eqn.1(let)

2x+3y=12............................Eqn.2(let)

By elimination Method

subtract Eqn.1 from Eqn.2

Then, 2x+3y=12

- 2x-6y=-6.

..........................................................................

-3y=6

Or, y= -2 and x=9

Hence , The Required answer is x=9,y=-2


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Elimination Method in Algebra: Definition & Examples

from High School Algebra II: Help and Review

Chapter 7 / Lesson 9
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