Question

7 1/3х+3 13/21=19 1/3

Answer 1

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Answer 2

To solve the equation for x, we need to isolate the variable on one side of the equation. Let's first simplify the equation by converting all mixed numbers to improper fractions:

7 1/3 can be written as (7 * 3 + 1) / 3 = 22 / 3 19 1/3 can be written as (19 * 3 + 1) / 3 = 58 / 3

So the equation becomes:

(22/3) * x + (3 * 21 + 13) / 21 = 58/3

Now, let's continue solving for x:

(22/3) * x + (63 + 13) / 21 = 58/3

(22/3) * x + 76 / 21 = 58/3

Next, let's get rid of the fraction in the second term by multiplying the entire equation by 21 (the common denominator of 3 and 21):

21 * ((22/3) * x) + 21 * (76 / 21) = 21 * (58/3)

This simplifies to:

(22 * 7) * x + 76 = 58

Now, isolate the variable x:

154x + 76 = 58

Subtract 76 from both sides:

154x = 58 - 76

154x = -18

Finally, divide by 154 to solve for x:

x = -18 / 154

x = -9 / 77

So, the value of x that satisfies the equation is -9/77.