Question

To solve an equation in x, you simplify the equation so that it becomes easy to tell which value(s) of x make the equation true. A.simplify -6x + 13 + 7x = 6 + x + 7 until you have the equation in the form x = ?. Tell what value(s) of x make the equation true. B. What can you conclude about the original equation?

Answer 1

\[-6x + 13 + 7x = 6 + x + 7\] combine like terms on the left and right
which one do you want to do first?

Answer 2

if it is not clear what i am asking, what is \(6+7\) ?

Answer 3

13

Answer 4

ok so now we have
\[-6x+13+7x=x+13\]
now what is \(7x-6x\) ?

Answer 5

13x ?

Answer 6

oh no dear, you are subtracting not adding
\[7x+6x=13x\] but you have \[7x-6x\]

Answer 7

try again

Answer 8

Derp. 1x?

Answer 9

yup

Answer 10

btw if you don't want your math teacher to think you are not clever, don't write \(1x\) just write \(x\)

Answer 11

that means we have \[x+13=x+13\]
what can you say about the left and the right?

Answer 12

they look the same to you?

Answer 13

Yes

Answer 14

B. What can you conclude about the original equation?
they are the same thing, so it is true for any value of \(x\)

Answer 15

clear enough?

Answer 16

Yea