Textmedoniidn
Answered

IDNLearn.com connects you with a community of experts ready to answer your questions. Join our knowledgeable community and get detailed, reliable answers to all your questions.

Which equation shows the substitution method being used to solve the system of linear equations?
X+y=6
X=y+2

A x+(y+2)=6

B (y+2)+y=6

C x=(x-6)+2

D x+y=y+2

Sagot :

the answer is B. (y+2)+y=6
since x=y+2 substitute y+2 for x in the first equation to get (y+2)+y=6

The equation (y+2)+y = 6 shows the substitution method to solve the given system of linear equations.

What is system of linear equation?

A system of linear equations  is a collection of one or more linear equations involving the same variables.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation, to get the value of another variable.

According to the question

We have a system of linear equations,

x + y = 6 ...(i)

and, x = y + 2...(ii)

For finding the value of y,

substitute the value of x = y +2 in equation (i)

⇒ y +2 +y = 6

⇒ 3y + 2 = 6

⇒ 3y = 6-2

⇒ 3y = 4

⇒ y = 4/3

Hence, the equation (y+2)+y = 6 shows the substitution method to solve the given system of linear equations.

Learn more about substitution method here:

https://brainly.com/question/14619835

#SPJ2

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.