Question

2x + y =7 , 4x _ 3y + 1 = 0 find x and y by using elimination method

Answer 1

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Answer 2

solution:

Given,

2x + y = 7 .....equ (i)and

4x-3y+1=0.......equ(ii)

Elimination method: in this method we eliminate one of the variable (ie, x or y) and reduce the equation into one variable equation and thus find the solution

Let's begin !

step: 1

Multiply the equation 1 by two so as to make the the coefficient of x same in both equation

=>2(2x+y=7)

or, 4x+2y=14.........equ(iii)

Step: 2

Subtract the two equations ie, (equiii and equ ii.

=> 4x +2y=14 ....equ iii

4x-3y=-1 .... equ ii

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

We get, 5y= 15

or, y=3

$\boxed{y=3}$

step: 3

substitute it in equ ii

4x-3y=-1

=> 4x -3 (3) = -1

or, 4x - 9= -1

or, 4x=-1+9

or, 4x=8

or,x=8/4

or,x=2

$\boxed{x=2}$