Question

solve Eq. x+y=7, 2x+2y=14​

Answer 1

Answer:

x=6, y= 1

2(6)+2(1)=14

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Answer 2

Answer:

x+y=7(1st equation)

2x+2y=14(2nd equation)

By elimination method

Multiply 1st equation by 2 and 2nd equation by 1

2x+2y=14(equation 3)

2x+2y=14(equation 2)

By subtracting equation 2 from 3

2x-2x=0,

2y-2y=0,

14-14=0

0=0

By substitution method

From 1st equation

x+y=7

y=7-x 1

By substituting in second equation

2x+2(7-x)=14

2x+14-2x=14

2x-2x=14-14

0=0

For verification

a1/a2=1/2

b1/b2=1/2

c1/c2=7/14=1/2

Since a1/a2=b1/b2=c1/c2

It coincides so it has infinite solutions