Math, asked by randhawasandeep415, 11 months ago

5x+3y=7 upon 3x-y=3​

Answers

Answered by SaiMaster
0

Answer:

Given Below

Step-by-step explanation:

3x + 5y = 9 and 5x + 3y = 7. What is the value of x+y?

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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 eq

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Two equations are given as below:

3x + 5y = 9 …Eq. 1

5x + 3y = 7 …Eq..2

In order to solve, multiplying Eq…1 with 5 and Eq..2 with 3

15x + 25y = 45

15x = 45 - 25y…Eq..3

Now substituting value of 15x from Eq..3 to Eq..4 as following

15x + 9y = 21…Eq…4

45 - 25y + 9y = 21

—16y = 21 - 45

--16y = —24

y = 24/16

y = 3/2

Substituting the value of y in Eq..1

3x + 5 (3/2) = 9

3x + 15/2 = 9

3x = 9 – 15/2

3x = (18 - 15)/2

3x = 3/2

x = 3/2 × 1/3

x =1/2

Now calculating the value of x + y

x + y = 3/2 + 1/2

x + y = 4/2

x + y = 2

Answered by HITEN330708
1

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