Question

3(1/2х-1 1/2)+2(1/4х+1/2) 0,2(5у+6)-4(0,25у-1,3)+5(0,1у-1,62)

Answer 1

Объяснение:

3(1/2x-1 1/2)+2(1/4x+1/2) =

$\frac{3}{2} x - \frac{6}{2} + \frac{1}{2} x + \frac{2}{2} = 1\frac{1}{2} x - 3 + \frac{1}{2} x + 1 = 1 \frac{1}{2} x + \frac{1}{2} x = 3 - 1 = 2x = 2$

2x =2

X=2/2

X=1

0.2(5y+6)-4(0.25y-1.3)+5(0.1y-1.62)=

y+1.2-y+5.2+0.5y-8.1=0

0.5y=-1.2-5.2+8.1

0.5y=-6.4+8.1

0.5y=1.7

Y=1.7/0.5

Y=3.4

Answer 2

To simplify the given expressions, let's start by simplifying each term individually and then combine like terms if applicable.

Expression 1: 3(1/2x - 1 1/2) + 2(1/4x + 1/2)

Distribute the coefficients: = (3 * 1/2x - 3 * 1 1/2) + (2 * 1/4x + 2 * 1/2)

Simplify each term: = (3/2x - 9/2) + (1/2x + 1)

Combine like terms: = 3/2x + 1/2x - 9/2 + 1 = (3/2x + 1/2x) + (-9/2 + 1) = 2x/2 + (-7/2) = x - 7/2 = x - 3.5

Expression 2: 0.2(5y + 6) - 4(0.25y - 1.3) + 5(0.1y - 1.62)

Distribute the coefficients: = (0.2 * 5y + 0.2 * 6) - (4 * 0.25y - 4 * 1.3) + (5 * 0.1y - 5 * 1.62)

Simplify each term: = (y + 1.2) - (y - 5.2) + (0.5y - 8.1)

Combine like terms: = y + 1.2 - y + 5.2 + 0.5y - 8.1 = y - y + 0.5y + 1.2 + 5.2 - 8.1 = 0.5y - 1.7

Therefore, the simplified expressions are:

Expression 1: x - 3.5

Expression 2: 0.5y - 1.7