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

Question

Mathematics

Answered

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 :

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Анонимid Анонимid · Answer 1

Анонимid Анонимid

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

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Anshuyadavid Anshuyadavid · Answer 2

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:

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