Question

4x+y= 13and and 2x-3y=3 in elimination

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer :

Given :

4x + y = 13

2x - 3y = 3

Required to find :

1. Values of x and y using elimination Method

Solution :

Let consider ;

4x + y = 13 ---------> equation 1

similarly,

2x - 3y = 3 ----------> equation 2

Now , let's solve this question using elimination method

So;

Let's multiply equation 2 with 2

That is

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

4x - 6y = 6 -------------> equation 3.

Let this be equation 3

Hence solving this question is simple.

Now subtract equation 1 and equation 3

Therefore,

4x + 1y = 13

4x - 6y = 6

(-) (+) (-)

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

0 + 7y = 7

7y = 7

y = 7/7

y = 1

Therefore,

Value of y is 1 .

Using this value of y let's find the value of x.

Hence substitute this value of y in equation 1 .

4x + 1y = 13

4x + 1 = 13

4x = 13 - 1

4x = 12

x = 12/4

x = 3 .

At last;

Therefore value of x = 3

value of y = 1