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Which of the following equations could be the result of using the comparison method to solve the system shown?

Which of the following equations could be the result of using the comparison method to solve the system shown class=

Respuesta :

Answer:

Option (2) is correct.

Step-by-step explanation:

 Given : two a system of linear equation as

   x+ y = 5 and

   2x+ y = 7

We have to choose out of given options  that could be the result of using comparison method to solve the given system .

COMPARISON METHOD

In comparison method we find a value for the single variable in term of others in given equations and compare the two equations.

Here, we first find the value of y in both equation and then compare,

Thus,  x+ y = 5 ...........(1)

          2x+ y = 7  .........(2)

From (1) , y = 5- x  ..........(3)

And from (2) , y = 7- 2x ......(4)

Now, comparing (3) and (4) , we have,

5- x = 7- 2x

Thus,  option (2) is correct.

JeanaShupp

Answer: [tex]5-x=7-2x[/tex]

Step-by-step explanation:

Given equations: [tex]x+y=5\\\Rightarrow\ y=5-x..........(1)\\2x+y=7\\\Rightarrow\ y=7-2x.........................(2)[/tex]

Comparing equation (1) from equation (2), we get

[tex]5-x=7-2x[/tex]

  • Comparison method is a method for solving systems of independent equations by starting rewriting both equations with the same variable and then compare.

Hence, [tex]5-x=7-2x[/tex] is the  result of using the comparison method to solve the system shown.

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