Question

Find the value of x and y if x+y=2 and 2x+y=3​

Answer 1

Answer:

x = 1 and y= 1

Step-by-step explanation:

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Answer 2

Given:

• x + y = 2     → → → [Equation 1]
• 2x + y = 3   → → → [Equation 2]

To find:

1. Value of x and y

Method:

We can solve this question either by substitution method OR elimination method.

By Elimination method:

Subtracting Equation 1 from Equation 2,              

                2x + y = 3      

          {-}    x + y = 2

             (2x - x) + (y - y) = 3 - 2

⇒ x = 1

Substitute value of x in Equation 2

x + y = 2

⇒ 1 + y = 2

⇒ y = 2 - 1

⇒ y = 1

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Now let's solve by Substitution method.

x + y = 2

⇒ y = 2 - x   → → → [Equation 3]

Substitute the above value of y

2x + y = 3

⇒ 2x + (2 - x) = 3

⇒ 2x + 2 - x = 3

⇒ 2x - x = 3 - 2

⇒ x = 1

Substitute value of x in Equation 3.

y = 2 - x

⇒ y = 2 - 1

⇒ y = 1

Both the answers are same.

So this question can be solved by any 1 method.

Learn more:

Elimination method includes both Addition and Subtraction of 2 equations.

This method is used to eliminate any one of the variable.