Question

John was asked to solve the following system using multiplication and addition. He tried twice to come up with an equivalent set of equations. Analyze each of John's attempts. Tell whether the attempt is an accurate and equivalent system of equations. Describe, in complete sentences, which operations were completed in each system and tell why or why not they were accurate operations.

Original System of Equations:

7x - 3y = 4
2x - 4y = 1

Attempt #1:

28x - 12y = 16
-6x + 12y = -3

Attempt #2:

14x - 6y = 4
-14x + 28y = 1

Answer 1

fist..whut do u think..?

Answer 2

i used a calculator for the 2 attempts and it dont got the right answer

Answer 3

can u use basketball or baseball terms when u explain plz

Answer 4

the u=numbers r x and y..u cant multiply those

Answer 5

ok

Answer 6

the second attempt was the better of the rwo

Answer 7

ok

Answer 8

do you know what methods he used to solve the problems tho

Answer 9

@new2luv

Answer 10

what do you have to do here find the answer

Answer 11

Do you see that he tried to get at least one variable equal?
this means he's using the elimination method

Answer 12

yes

Answer 13

His first attempt was to cancel out the y's, so he multiplied the equations by 4 and -3

Answer 14

In this way, when he cancels, he will be left with x

Answer 15

yes is there a way you can use basketball or sports terms if not it is ok

Answer 16

7x - 3y = 4
2x - 4y = 1

Attempt #1:

28x - 12y = 16
-6x + 12y = -3

Let's first analyze the first one

7x-3y=4
28x-12y=16

Do you think he multiplied it correctly?
(he multiplied the equation by 4)

Answer 17

and no he didnt

Answer 18

what

Answer 19

Why not?
where is his mistake then

Answer 20

hol up lemme think

Answer 21

your thoughts now...?

Answer 22

im working it out on paper but i think that he multiplied it wrong bc the answer wasnt correct on the 2nd problem in the first attempt