6x + 13 = 37 please provide reasoning

Mathematics

2 answers:

sladkih [1.3K]3 years ago

7 0

6x + 13 = 37

6x = 37 - 13

6x = 24

x = 24/6

x = 4

Answer: x = 4

TiliK225 [7]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

6x + 13 = 37

(given)

6x + 13 = 37

- 13 - 13

(subtraction property of equality; cancel out the constant term of the left side by subtracting 13 from both sides so 6x is by itself)

6x = 24

÷6 ÷6

(division property of equality; divide both sides by 6 to cancel out the coefficient in 6x in order to solve for x)

x = 4

(this is the solution to the equation)

______________________________

Proof:

Substitute this answer back into the equation in order to verify that the solution forms a true equation.

x = 4 → 6(x) + 13 = 37 → 6(4) + 13 = 37 → 24 + 13 = 37 → 37 = 37

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