Question

(1,5(x + 2y) - 4(y - 3x) – 13,5 = 0,2(y - 3x) + 2,5(x + 2 y) + 3,5 = 0;​

Answer 1

Ответ:

1)x=y*2/27+1, y=R

2)y=x-1/2, x=R

Пошаговое объяснение:

1)

1.5x+3y-4y+12x-13.5=0

13.5x-y-13.5=0

13.5=y+13.5

x=y*2/27+1, y=R

2)

2y-6x+2.5x+5y+3.5=0

7y-3.5x+3.5=0

7y=3.5x-3.5

y=3.5x/7-0.5

y=7x/2/7-1/2

y=x/2-1/2

y=x-1/2

Answer 2

To solve the system of linear equations:

Equation 1: $1.5(x + 2y) - 4(y - 3x) - 13.5 = 0$ Equation 2: $0.2(y - 3x) + 2.5(x + 2y) + 3.5 = 0$

Let's start by simplifying these equations step by step:

Equation 1:

$1.5(x + 2y) - 4(y - 3x) - 13.5 = 0$

Expand and simplify: $1.5x + 3y - 4y + 12x - 13.5 = 0$ $13.5x - 1y - 13.5 = 0$ $13.5x - y = 13.5$

Equation 2:

$0.2(y - 3x) + 2.5(x + 2y) + 3.5 = 0$

Expand and simplify: $0.2y - 0.6x + 2.5x + 5y + 3.5 = 0$ $5.2y + 1.9x + 3.5 = 0$ $5.2y + 1.9x = -3.5$

Now we have the system of equations in the form: $13.5x - y = 13.5$ $5.2y + 1.9x = -3.5$

We can solve this system using various methods, such as substitution, elimination, or matrices. Let's use the substitution method.

First, solve the first equation for $y$: $y = 13.5x - 13.5$

Now substitute this expression for $y$ into the second equation: $5.2(13.5x - 13.5) + 1.9x = -3.5$

Solve for $x$: $70.2x - 70.2 + 1.9x = -3.5$ $72.1x = -3.5 + 70.2$ $72.1x = 66.7$ $x ≈ \frac{66.7}{72.1}$

Now calculate $x$. Then substitute this value into $y = 13.5x - 13.5$ to find $y$.