Question

A system of equations is given below.
2x + 7y = 1
-3x – 4y = 5

Create an equivalent system of equations by replacing the first equation by multiplying the first equation by an integer other than 1, and adding it to the second equation.
Use any method to solve the equivalent system of equations (the new first equation with the original second equation).
Prove that the solution for the equivalent system is the same as the solution for the original system of equations.

Answer 1

help??

Answer 2

Soooo, which part of it are you stuck at?

Answer 3

How should I begin?

Answer 4

should I multiply both 2x and -3x by 2?

Answer 5

@Bobo-i-bo

Answer 6

So firstly do you understand this bit: "replacing the first equation by multiplying the first equation by an integer other than 1"

Answer 7

no....

Answer 8

@Bobo-i-bo

Answer 9

Do you understand this: "multiplying the first equation by an integer other than 1"

Answer 10

?

Answer 11

no

Answer 12

Do you understand this: Multiply the first equation by an integer other than 1?
Hmm, do you even know what an integer is?

Answer 13

any whole number??

Answer 14

Yup!

Answer 15

So choose any whole number (apart from 1) and multiply the whole of the first equation by it. Do you know what I mean by multiplying the whole of the first equation by a number?