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3x + 2y = 3 / 2x + 3y = 2

User Nidhal Ben Tahar
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2 Answers

8 votes
8 votes

Answer:

Step-The solution of the set of equations 3x-2y=3 and 2x+3y=2 has to be determined.

3x-2y=3 ...(1)

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

3*(1) - 2*(2)

=> 9x - 6y - 4x - 6y = 9 - 4

=> 5x = 5

=> x = 1

Substituting x = 1 in (1)

3 - 2y...

by-step explanation:

User Pepelius
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3.1k points
17 votes
17 votes

Answer:

x = 1 , y = 0

Explanation:

3x + 2y = 3 ------> (1)

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

(1) × 2

2 × ( 3x + 2y = 3 )

6x + 4y = 6 -------> (3)

(2) × 3

3 × ( 2x + 3y = 2 )

6x + 9y = 6 ------> (4)

(4) - (3)

6x + 9y - ( 6x + 4y ) = 6 - 6

6x + 9y - 6x - 4y = 0

5y = 0

y = 0

If y = 0,

2x + 3y = 2

2x + 3y = 2

2x + 3 × 0 = 2

2x + 0 = 2

2x = 2

x = 1

Hope this helps you :-)

Let me know if you have any other questions :-)

User Enthusiasticgeek
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3.1k points