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Can anyone help solve these equations using the elimination method

Can anyone help solve these equations using the elimination method-example-1

2 Answers

9 votes

Explanation:

dear by changing the sign by elimination method everything gets cancelled

Can anyone help solve these equations using the elimination method-example-1
User Spig
by
7.1k points
5 votes

Given:

The system of equation is


15x+12y=18


5x+4y=6

To find:

The solution of given system of equations by using elimination method.

Solution:

We have,


15x+12y=18 ...(i)


5x+4y=6 ...(ii)

Multiply equation (ii) by 3.


3(5x+4y)=3(6)


3(5x)+3(4y)=18


15x+12y=18 ...(iii)

After subtracting (iii) from (i), we get


(15x+12y)-(15x+12y)=18-18


15x+12y-15x-12y=0


0=0

This statement is true for all values of x and y. So, the given system of equations has infinitely many solutions and both equations represents coincident lines.

User Celmaun
by
6.3k points
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