Question

1) 25(х + 2) - 4(у - 3) - (25х - 4у +61):2) 7,8(3х - 5) + (80 - 39y) - 0,3(10 + 78х - 130y).​

Answer 1

Ответ:

1.1

2.38

Пошаговое объяснение:

1) 25x+50-4y+12-25x+4y-61=50-61+12=1

2)23,4x-39+80-39y-3-23,4x+39y=-39+80-3=38

Answer 2

Let's simplify each expression step by step:

1. 25(x + 2) - 4(y - 3) - (25x - 4y + 61)/2

First, distribute the constants and variables inside the parentheses:

= 25x + 50 - 4y + 12 - (25x - 4y + 61)/2

Next, combine like terms within the parentheses:

= 25x - 4y + 62 - (25x - 4y + 61)/2

Now, distribute the negative sign inside the second set of parentheses:

= 25x - 4y + 62 - (25x/2 - 4y/2 - 61/2)

Now, let's simplify the expression inside the second set of parentheses:

= 25x - 4y + 62 - (12.5x - 2y - 30.5)

Now, subtract the expression inside the second set of parentheses from the first set:

= 25x - 4y + 62 - 12.5x + 2y + 30.5

Now, combine like terms:

= (25x - 12.5x) + (-4y + 2y) + (62 + 30.5)

= 12.5x - 2y + 92.5

So, the simplified expression is:

12.5x - 2y + 92.5

2. 7.8(3x - 5) + (80 - 39y) - 0.3(10 + 78x - 130y)

First, distribute the constants and variables inside the parentheses:

= 23.4x - 39 + 80 - 39y - 0.3(10) - 0.3(78x) + 0.3(130y)

Now, perform the multiplications within the parentheses:

= 23.4x - 39 + 80 - 39y - 3 - 23.4x + 39y

Now, combine like terms:

= (23.4x - 23.4x) + (-39y + 39y) + (-39 + 80 - 3)

= 0x + 0y + 38

Since anything multiplied by 0 is 0, and any number plus 0 is itself, the simplified expression is:

38

So, the simplified expression for the second expression is 38.