Question

2x=5/8; 7/12x-5/18x=2 4/9​

Answer 1

Ответ:

УДАЧИ)))))))))))))))))

Answer 2

To solve the system of equations:

1. 2x = 5/8
2. (7/12)x - (5/18)x = 2 4/9

First, let's solve the first equation for x:

1. 2x = 5/8

To isolate x, divide both sides of the equation by 2:

2x/2 = (5/8)/2 x = (5/8) * (1/2) x = 5/16

Now, we have found the value of x from the first equation: x = 5/16.

Next, let's simplify the second equation:

2. (7/12)x - (5/18)x = 2 4/9

To combine the fractions on the left side of the equation, find a common denominator, which is 36:

(7/12)x * (3/3) - (5/18)x * (2/2) = 2 4/9

Now, calculate the common denominator:

(21/36)x - (10/36)x = 2 4/9

Now, subtract the fractions on the left side:

(21/36 - 10/36)x = 2 4/9

(11/36)x = 2 4/9

To solve for x, multiply both sides by the reciprocal of (11/36), which is (36/11):

x = (2 4/9) * (36/11)

Now, let's convert the mixed number (2 4/9) into an improper fraction:

2 4/9 = (9 * 2 + 4)/9 = (18 + 4)/9 = 22/9

Now, substitute this value back into the equation:

x = (22/9) * (36/11)

To multiply fractions, multiply the numerators and denominators separately:

x = (22/9) * (36/11) = (22 * 36) / (9 * 11)

Now, calculate the numerator and denominator:

x = (792) / (99) = 8

So, the solution to the system of equations is x = 8.