Question

solve 2x+y=7 4x-3y=-1​

Answer 1

Answer:

2x + y = 7

y = 7 - 2x -----( 1 )

4x - 3y + 1 = 0 ------( 2 )

Substitute ( 1 ) in equation ( 2 ) , we

get

4x - 3( 7 - 2x ) + 1 = 0

4x - 21 + 6x + 1 = 0

10x - 20 = 0

10x = 20

x = 20/10

x = 2

Put x = 2 in equation ( 1 ) , we get

y = 7 - 2 × 2

y = 7 - 4

y = 3

Therefore ,

x = 2 , y = 3

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Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

The given system of equations is

2x + y = 7 ... (i)

4x - 3y = -1. ...(ii)

From (i), we get

2x + y = 7

⇒  y = (7 - 2x).

Substituting y = (7 - 2x) in (ii), we get

4x - 3y = -1

⇒  4x - 3 (7 - 2x) = - 1

⇒  4x - 21+ 6x = -1

⇒ 10x - 21 = -1

⇒ 10x = - 1 + 21

⇒  10x = 20

⇒ x = 20/10

⇒  x = 2.

Substituting x = 2 in y = (7 - 2x), we get

y = (7 - 2x)

⇒  y = 7 - 2(2)

⇒   y = 7 - 4

⇒  y = 3.

Hence, the solution is x = 2, y = 3.