Question

If 2/3= x/21, the value of x is​

Answer 1

Answer:

14

Step-by-step explanation:

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Answer 2

The first step in solving the given equation for x, is to collect like terms on the left side as follows:

2x - 3 + 3x = 21

2x + 3x - 3 = 21

(2 + 3)x - 3 = 21

(5)x - 3 = 21

5x - 3 = 21

Now, begin isolating x on the left side by adding 3 to both sides:

5x - 3 + 3 = 21 + 3

5x + 0 = 24

5x = 24

Now, divide both sides by 5:

(5x)/5 = 24/5

(5/5)x = 24/5

(1)x = 24/5

x = 24/5 or 4⅘

CHECK:

2x - 3 + 3x = 21

2(24/5) - 3 + 3(24/5) = 21

48/5 - 3 + 72/5 = 21

48/5 - 15/5 + 72/5 = 105/5

[(48 - 15)/5] + 72/5 = 105/5

33/5 + 72/5 = 105/5

105/5 = 105/5