5x+3y=7 upon 3x-y=3
Answers
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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Friends…!
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
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