Question

3x-2y=6 and 4x-2y=6 by substituting and elimination method

Answer 1

Answer:

Bruv here's your answer..

Step-by-step explanation:

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Answer 2

AnswEr

The value of x = 0 and y = -3

Solution

By elimination method

Given the equations are

3x - 2y = 6 _________(1)

and

4x - 2y = 6 _________(2)

Subtracting (2) from (1) we have ,

⇒3x - 2y -(4x - 2y) = 6 - 6

⇒3x - 2y - 4x + 2y = 0

⇒ -x = 0

⇒ x = 0

Putting the value of x in equation (1) we have

⇒3(0) - 2y = 6

⇒ -2y = 6

⇒ y = -3

______________________

By substitution method

The given equations are

3x - 2y = 6 --------->(1)

and

4x - 2y = 6 ---------->(2)

Taking (1) we have

3x - 2y = 6

⇒ 3x = 6 + 2y

⇒ x = (6 +2y)/3 ----------->(3)

Putting the value of x in (2) we have 4×{(6+2y)/3} - 2y = 6

⇒{ 4×(6 + 2y) - 6y}/3= 6

⇒24 + 8y - 6y = 6×3

⇒ 2y = 18 - 24

⇒ 2y = - 6

⇒ y = -3

Putting the value of y in (1) we have ⇒ 3x - 2(-3) = 6

⇒ 3x + 6 = 6

⇒ 3x = 6 - 6

⇒ 3x = 0

⇒ x = 0

____________________