Math, asked by sunithasivakumar, 9 months ago

2x-y=3;3x+y=7 solve by substitution​

Answers

Answered by bhagyashreechowdhury
1

Given:

2x - y = 3 ..... (i)

3x + y = 7 ....... (ii)

To find:

Solve by substitution​

Solution:

We have equation (i) as,

2x - y = 3

y = 2x - 3 ..... (iii)

On substituting equation (iii) in equation (ii), we get

3x + y = 7

⇒ 3x + 2x - 3 = 7

⇒ 5x - 3 = 7

⇒ 5x = 7 +3

⇒ 5x = 10

⇒ x = \frac{10}{5}

x = 2

Now, on substituting the value of x in eq. (iii), we get

y = 2x - 3

⇒ y = 2(2) - 3

⇒ y = 4 - 3

y = 1

Thus, by substitution method, we get,

\boxed{\bold{x  =  \underline {2}}}\\\\\boxed{\bold{y = \underline{1}}}

----------------------------------------------------------------------------------------

Also view related links:

Solve the equation by substitution method 2x + 3y = 7 & 3 x - y = 5

https://brainly.in/question/7218872

Solve 3x - y = 7 and 2x + 5y + 1 = 0 by substitution method

https://brainly.in/question/7390112

Answered by Anonymous
1

Given,

The two equations are

2x-y = 3

3x+y = 7

To find,

The value of "x" and "y" using substitution method.

Solution,

We can easily solve this mathematical problem by using the following mathematical process.

From the second equation,

3x+y = 7

y = 7-3x

Substituting the value of "y" into first equation,

2x - (7-3x) = 3

2x-7+3x = 3

5x = 10

x = 2

Putting value of "x" into second equation,

(3×2)+y = 7

6+y = 7

y = 1

Hence, the final answer will be x=2 and y=1

Similar questions