Answer:
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.
Step-by-step explanation:
Given:
[tex]y=2x+4[/tex] ..............Equation ( 1 )
[tex]7x-2y=3[/tex] .............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
[tex]2 = -2\times 1+4[/tex]
[tex]2 =2[/tex]
∴ 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
[tex]7\times 1-2\times 2 =3[/tex]
[tex]3=3[/tex]
∴ 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