Question

1)(145х+58у-116х):29 2) (288у+195х + 144у):483)(245z+147у-98z):49 4) (130a+195b-65a):13​

Answer 1

1) (29х+58у):29=29х:29+58у:29=х+2у

2) (432у+195х):48=432у:48+195х:48=9у+4 3/48х=9у+4 1/16х

3) (147z+147y):49=3z+3y

4) (65a+195b):13=5a+15b

Answer 2

It looks like you've provided several mathematical expressions that need to be simplified. Let's solve each of them step by step:

1. $\frac{145x + 58y - 116x}{29}$

Combine like terms in the numerator: $145x - 116x = 29x$

$\frac{29x + 58y}{29}$

Now cancel out the common factor of 29:

$x + 2y$

So, the simplified expression is $x + 2y$.

2. $\frac{288y + 195x + 144y}{483}$

Combine like terms in the numerator: $288y + 144y = 432y$

$\frac{432y + 195x}{483}$

Now simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

$\frac{144y + 65x}{161}$

So, the simplified expression is $\frac{144y + 65x}{161}$.

3. $\frac{245z + 147y - 98z}{49}$

Combine like terms in the numerator: $245z - 98z = 147z$

$\frac{147z + 147y}{49}$

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 49:

$3z + 3y$

The simplified expression is $3z + 3y$.

4. $\frac{130a + 195b - 65a}{13}$

Combine like terms in the numerator: $130a - 65a = 65a$

$\frac{65a + 195b}{13}$

Now cancel out the common factor of 13:

$5a + 15b$

The simplified expression is $5a + 15b$.

Please double-check these simplifications, and if you have any further questions, feel free to ask!