Question

Given: 3x - 14 = 43
Prove: x = 19

Answer 1

Step-by-step explanation:

Because you're trying to prove the value of X, you work backwards. here's what you do

When working backwards, PEMDAS becomes SADMEP

First, add 14 to 43 (57).

Then, divide 57 by 3 to get 19.

x = 19!

Answer 2

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 14 to both sides of the equation:

3x - 14 (+14) = 43 (+14)

3x = 43 + 14

3x = 57

Next, divide 3 from both sides of the equation:

(3x)/3 = (57)/3

x = 57/3

x = 19

~

Proof: Plug in 19 for x in the equation for x:

3(19) - 14 = 43

First, multiply:

(3 * 19) - 14 = 43

(57) - 14 = 43

Next, subtract:

57 - 14 = 43

43 = 43 (True).

~