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3 years ago

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

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

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.

HACTEHA [7]3 years ago

7 0

Answer: $5-x=7-2x$

Step-by-step explanation:

Given equations: $x+y=5\\\Rightarrow\ y=5-x..........(1)\\2x+y=7\\\Rightarrow\ y=7-2x.........................(2)$

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

$5-x=7-2x$

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

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

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Given that

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