Question

solve the equation x+y=8,2x-3y=1 by substitution method​

Answer 1

ANSWER:

• Value of x = 5 and y = 3.

GIVEN:

• x+y = 8
• 2x-3y = 1

TO FIND:

• Value of x and y.

SOLUTION:

=> x+y = 8

=> x = (8-y) .....(i)

=> 2x-3y = 1

Putting x = (8-y) from eq(i)

=> 2(8-y)-3y = 1

=> 16-2y-3y = 1

=> -5y = 1-16

=> -5y = -15

=> y = -15/-5

=> y = 3

Putting y = 3 in eq(i)

=> x = 8-3

=> x = 5

Value of x is 5 and y is 3.

NOTE:

• This method of finding the value of x and y is called substitution method.

Answer 2

Step-by-step explanation:

x+y=8,

y=8-x. ......(1)

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

substituting y=8-x in equation (2)

2x-3y=1

2x-3(8-x)=1

2x-24+3x=1

2x+3x=1+24

5x=25

x=25\5

x=5

substituting x=5 in equation (1)

x+y=8

5+y=8

y=8-5

y=3