2x+3y=2;x-y/2=1/2 tell me fast plz friends
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Answer: The values of x and y are 2/5.
Step-by-step explanation:
Given: We are given with two equations; 2x + 3y = 2 and (x - y)/2 = 1/2.
How to do? We are going to solve this linear equation in two variable by substitution method and find the values of x and y.
Solution:
⇒ 2x + 3y = 2
⇒ 2x = 2 - 3y
⇒ x = (2 - 3y)/2 ---(1)
⇒ (x - y)/2 = 1/2
⇒ x - y = 1
⇒ x = y
On substituting Equation x = y in Equation (1), we get:
⇒ x = (2 - 3y)/2
⇒ y = (2 - 3y)/2
⇒ 2y = 2 - 3y
⇒ 2y + 3y = 2
⇒ 5y = 2
⇒ y = 2/5
Since x = y, therefore; x = 2/5
Final Answer: x = y = 2/5
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