Question

Did i do this correctly?

Answer 1

Create your own two-step equation with All Real Numbers as the solution. Show the steps to solving the equation to prove the solution All Real Numbers.

Answer 2

My answer : 10x + 12 = 10(x + 12)
1) Simplify the right side of the equation with distributive property.
10(x) + 10(12)
10x + 120
10x + 12 = 10x + 120
2) Move the variables to the left side
10x + 12 = 10x + 120
-10x -10x
0 0
12 = 120

Answer 3

I think you'd be correct if you answer is 10x + 120 = 10(x+12)

Answer 4

But\[10(x + 12) \ne 10x + 12 \]

Answer 5

what? im confused

Answer 6

your equation is not true, because 12 does not equal 120..
if i picked x = 1, your equation would be

10(1) + 12 = 10(1+12)
22 = 10 + 120

not true, which means x = 1 is not a solution, which means your equation does not have all real numbers as its solution

Answer 7

ok so how can i fix it

Answer 8

both sides need to equal each other for any real number x

basically they can be exactly the same, just written differently

so 10x + 120 = 10(x + 12) would work

you can alternatively start over and just slowly add to the equation, like

x = x true
3x = 3x true
3x + 9 = 3x + 9 true
3x + 9 = 3(x+3) true

Answer 9

o ok so wait let me try it again

Answer 10

10x + 120 = 10(x + 12)
1) Simplify the right side of the equation with distributive property.
10(x) + 10(12)
10x + 120
10x + 120 = 10x + 120
2) Move the variables to the left side
10x + 120 = 10x + 120
-10x -10x
0 0
120 = 120

Answer 11

is that better ^ ^ ^

Answer 12

yup that should work

Answer 13

ok thx soo much!

Answer 14

np :)