Question

Can anyone help solve these equations using the elimination method

Answer 1

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.

Answer 2

Step-by-step explanation:

dear by changing the sign by elimination method everything gets cancelled