Mathematics, 22.06.2019 10:00 hasshh

Asystem of equations is shown below: 5x + 2y = 3 (equation 1) 2x − 3y = 1 (equation 2) a student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. if equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

Answers: 2

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Answers

The answer is (A) Show that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equations

Step-by-step explanation: Given the following system of equations:

$5x+2y=3,\\\\2x-3y=1.$

A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. He multiplied equation 2 by 1.

The new system of equations will be

$(5x+2y)+(2x-3y)=3+1,\\\\1\times (2x-3y)=1\times 1,$

that is,

$7x-y=4,\\\\2x-3y=1.$

Thus, the correct option is (A).Show that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equations.

Answer from: Val03

Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

Given System of equations is 5x + 2y = 3 (equation 1) and 2x - 3y = 1 (equation 2)

Second System of equations is 2x - 3y = 1 and 7x - y = 4

How we got 7x - y = 4

Step 1: Multiply 2x - 3y = 1 by 1, we get the same 2x - 3y = 1

Step 2: Add 5x + 2y = 3 with 2x - 3y = 1

5x + 2x + 2y - 3y = 1

7x - 3y = 1

We have got second equation 7x - 3y = 1

Thus, Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Answer from: wolfsaway

You are apparently being asked to identify the equations that result when

... 2x - 3y = 1

remains unchanged, and the first equation is replaced by

... (5x +2y) +(2x -3y) = (3) +(1).

The sum will be

... x(5+2) + y(2-3) = 3+1

... 7x - y = 4

So, the two equation in the system will now be

... 7x - y = 4

... 2x - 3y = 1

This description of the system corresponds to choice ...

... a. Show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

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