Question

2 1/3 x + 2 3/5 = 1 2/15

Answer 1

2 1/3х=1 2/15-2 3/5

2 1/3х=17/15-13/5

2 1/3х=17/15-39/15

7/3х= -22/15

х= -22/15:7/3

х= -22/15*3/7

х= -22/35

Answer 2

7/3 × х + 13/5 = 17/15
7/3х = 17/15 - 13/5
7/3х = 17/15 - 39/15
7/3х = -22/15
х = -22/15 : 7/3
х = -22/15 × 3/7
х = -22/35
Ответ: х = -22/35

Answer 3

To solve the equation, we'll first convert all the mixed numbers into improper fractions and then perform the necessary operations.

Step 1: Convert mixed numbers to improper fractions 2 1/3 can be written as (2 * 3 + 1) / 3 = 7 / 3 2 3/5 can be written as (2 * 5 + 3) / 5 = 13 / 5 1 2/15 can be written as (1 * 15 + 2) / 15 = 17 / 15

So the equation becomes: (7 / 3) x + (13 / 5) = 17 / 15

Step 2: Get rid of fractions by finding a common denominator The common denominator for 3, 5, and 15 is 15. We'll rewrite the equation with the common denominator:

(7 / 3) x + (39 / 15) = (17 / 15)

Step 3: Subtract the constant term from both sides (7 / 3) x = (17 / 15) - (39 / 15) (7 / 3) x = (-22 / 15)

Step 4: Solve for x by isolating it on one side of the equation To do that, we'll multiply both sides of the equation by the reciprocal of (7 / 3), which is (3 / 7).

x = (-22 / 15) * (3 / 7)

Step 5: Simplify the expression x = (-22 * 3) / (15 * 7) x = -66 / 105

Step 6: Reduce the fraction, if possible Both -66 and 105 are divisible by 3:

x = (-22 / 35)

So the value of x that satisfies the equation is -22/35.