Question

13
6.3) Solve the following pair of linear equation
by the Substitution method
2x+y=6
40-2y = 4​

Answer 1

Answer:

2x + y =6

so y=6-2x

Step-by-step explanation:

substituting y in eq 2 we get ,

40-2(6-2x)=4

40-12+4x=4

28 +4x=4

4x=-24

x=-6

therefore y=18

Answer 2

Correct Equation:

• 2x + y = 6 and 4x - 2y = 4.

Answer:

• Value of x = 2 and y = 2

Step-by-step explanation:

Given:

• Equation: 2x + y = 6 and 4x - 2y = 4

To Find:

• Value of x and y

Method used:

• Substitution method

⇒ 2x + y = 6     ......(1)

⇒ 40 - 2y = 4   ......(2)

Now, first we will take equation (1).

⇒ 2x + y = 6

⇒ 2x = 6 - y

⇒ x = (6 - y)/2

Now, put the value of 'x' in equation (2),

⇒ 4x - 2y = 4

⇒ 4[(6 - y)/2] - 2y = 4

⇒ [(24 - 4y)/2] - 2y = 4

⇒ (24 - 4y - 4y)/2 = 4

⇒ 24 - 8y = 8

⇒ -8y = -16

⇒ y = 2

Now, put the value of 'y' in equation (1),

⇒ 2x + y = 6

⇒ 2x + 2 = 6

⇒ 2x = 4

⇒ x = 2

Hence, Value of x = 2 and y = 2.