Question

1)41 9/21+x=45 11/21 2)(9 21/63-x)-3 15/63=2 11/63

Answer 1

Ответ:

1)41 9/21+x=45 11/21

870/21 + x = 956/21

290/7 + x = 956/21

x = 956/21 - 290/7

x = 86/21

2) (9 21/63-x)-3 15/63=2 11/63

(588/63 - x) - 204/63 = 137/63

(28/3 - x) - 204/63 = 137/63

128/21 - x = 137/63 - 128/21

-x = 137/63 - 128/21

-x = - 247/63

x = 243/63

Answer 2

Sure, I'd be happy to help you solve these equations.

Equation 1: 41 9/21 + x = 45 11/21

First, we need to convert the mixed numbers to improper fractions: 41 9/21 = (41 * 21 + 9) / 21 = 873 / 21 45 11/21 = (45 * 21 + 11) / 21 = 951 / 21

So, the equation becomes: 873/21 + x = 951/21

Now, we can subtract 873/21 from both sides to solve for x: x = 951/21 - 873/21 x = 78/21 x = 26/7

Equation 2: (9 21/63 - x) - 3 15/63 = 2 11/63

First, convert the mixed numbers to improper fractions: 9 21/63 = (9 * 63 + 21) / 63 = 588 / 63 3 15/63 = (3 * 63 + 15) / 63 = 204 / 63 2 11/63 = (2 * 63 + 11) / 63 = 137 / 63

So, the equation becomes: (588/63 - x) - 204/63 = 137/63

Now, combine the fractions on the left side: (588 - 63x - 204) / 63 = 137/63

Simplify the left side: (384 - 63x) / 63 = 137/63

Cross-multiply: 384 - 63x = 137

Subtract 384 from both sides: -63x = -247

Finally, divide by -63 to solve for x: x = 247 / 63 x = 211/63

Please note that both solutions are in fractional form. If you need decimal approximations, you can calculate them as well.