Question

7x + 5y =12&4x+3y=9
.
Elimination method
=​

Answer 1

Answer:

Step-by-step explanation:

These is a problem of linear equations.

The problems of can be solved by two different methods…

Elemination

Substitution

Here we will discuss about the elemination techniques.

As the name suggest that we need to eleminate the variables (either x or y) to get the answer. Let's understand with the help of an example.

Given eqn

3x+5y=9  

5x+3y=7  

In order to eleminate “x”we need to make the co-efficient of “x” same on both the equation.

To achieve this

we will multiply 5 with equation 1

And multiply 3 with equation 2

On multiplication it will look like….

15x+25y=45  

15x+9y=21  

Now we will substract equation 1 and 2, it will give,

16y=24  

y=1.5  

Now, we will put y = 1.5 in equation 1 and solve

Upon solving we get,

x=0.5  

Now, we got both x and y.

So,  x+y=0.5+1.5=2  

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