Question

Which statements are true the order pair (1,2) and the system of equations?

y=2x+4
7x-2y=3

Answer 1

The Correct Answers are

When (1 ,2) is substituted into the first equation, the equation is true.

When (1 ,2) is substituted into the second equation, the equation is true.

When (1 ,2) is substituted into the second equation, the equation is true.

Explanation:

Given:

`y=2x+4` ..............Equation ( 1 )

`7x-2y=3` .............Equation ( 2 )

To Show:

order pair ( 1, 2) True for Which Equation

Solution:

The Correct Statements are

When (1 ,2) is substituted into the first equation, the equation is true.

For Equation ( 1 )

Put x = 1 and y =2 in equation 1 we get

`2 = -2* 1+4`

`2 =2`

∴ Left hand side = Right hand side

Hence True

When (1 ,2) is substituted into the second equation, the equation is true.

For Equation ( 2 )

Put x = 1 and y = 2 in equation 2 we get

`7* 1-2* 2 =3`

`3=3`

∴ Left hand side = Right hand side

Hence True

The ordered pair (1 , 2) is a solution to the system of linear equations.

∴ From above Both are True,

Hence True