Question

medal and honor
Solve.

6(a + 3) = 18 + 6a

(Points : 1)
no solution
all real numbers
–3
–1

Answer 1

all are real numbers

Answer 2

no solution

Answer 3

wuuuut

Answer 4

i solve it gave me all as real numbers

Answer 5

No.

Answer 6

6(a + 3) = 18 + 6a
Distribute:
6a + 18 = 18 + 6a
Apply commutative property to right side:
6a + 18 = 6a + 18
Subtract 6a and 18 from both sides:
0 = 0
Since 0 = 0 is a true statement, that means this equation is true for all real numbers.

Answer 7

but that also means no solution

Answer 8

well at least thats what i learned

Answer 9

@prguan You solved the equation correctly and got 0 = 0.
Your only mistake was reaching the wrong conclusion.

Answer 10

ohhhhhh i get it

Answer 11

You can't have learned that because it's incorrect. What you learned was a similar thing you are now confusing with.

Answer 12

whoops

Answer 13

There is no solution is the variables are eliminated and the statement is false.

Answer 14

then indefinitely many solutions

Answer 15

which also means all real numbers?

Answer 16

For example:
6(a + 3) = 15 + 6a
6a + 18 = 15 + 6a
18 = 15
Since we have a false statement, there is no solution.

Answer 17

Yes. Infinite number of solutions means the same as all real numbers.

Answer 18

oh ok i thought it indefinitely many solutions but didn't know it as all real numbers