Question

solve 5c + 4 = -26.

Answer 1

Isolate C to one side.

Answer 2

@LazyDirectioner
Do you know how to do that?

Answer 3

5c + 4 = -26.


Subtract both sides 4 to isolate c

5c + 4 = -26.
-4 -4

Then divide every term by 5 to isolate c.

5c = -30
/5 /5

C = ??

Answer 4

Typo, do the inverse operation to undo the 5 and have C alone on one side. The inverse of multiplication is division.

Answer 5

@Opcode yes so th new equation would be c+4=-5.2?

Answer 6

No. @LazyDirectioner

Answer 7

Not exactly we want to get C to one side, and the numbers to the other.
\[5c + 4 = -26\]
When we move anything over the equal sign, we flip it (i.e. + 4 becomes -4).
\[5c + 4 = -26 \implies 5c = -26 - 4\]

Answer 8

@Opcode ok so....

Answer 9

Well what does \(-26 - 4\) equal?

Answer 10

@Opcode -30

Answer 11

Correct!
So now we have:
\[5c = -30\]
Do you understand how we got that so far?

Answer 12

@Opcode yes so c=-6

Answer 13

Correct :-).

Answer 14

Do you know how to check your answer?

Answer 15

@Opcode Thanks helped alot

Answer 16

No problem, anyway lets check your answer.
It's really easy, and it make sure you get the correct answer.

Answer 17

@Opcode ok ill do it

Answer 18

\[5c + 4 = -26\]
We now know that \(c = -6\).
To check we want to plug in our new found \(c\) value into the equation.
\[5c + 4 = -26 \implies 5(-6) + 4 = -26 \implies -30 + 4 = -26 \]
\[-26 = -26~\huge\color{red}{✓}\]