Question

{ 5 x- 2 ( x- y ) =0 / 6( 2x + 3) - y - 41 =0​

Answer 1

Ответ:

х=1 19/27; у= -2 5/9

Пошаговое объяснение:

5х-2х+2у=0; 3х+2у=0; 2у= -3х; у= -3/2 х

12х+18-(-3/2 х)-41=0

24/2 х+ 3/2 х-23=0

27/2 х=23

27х=23×2

х=46/27; у= -3/2 ×46/27= -23/9

х=1 19/27; у= -2 5/9

Answer 2

To solve the system of equations:

1. 5x - 2(x - y) = 0
2. 6(2x + 3) - y - 41 = 0

We can follow these steps:

Step 1: Simplify the equations Step 2: Isolate one variable in one of the equations Step 3: Substitute the value of the isolated variable into the other equation Step 4: Solve for the remaining variable Step 5: Find the values of both variables

Let's proceed with the steps:

Step 1: Simplify the equations

1. 5x - 2(x - y) = 0 5x - 2x + 2y = 0 3x + 2y = 0

2. 6(2x + 3) - y - 41 = 0 12x + 18 - y - 41 = 0 12x - y - 23 = 0

Step 2: Isolate one variable in one of the equations

Let's isolate 'y' in the first equation (3x + 2y = 0): 2y = -3x y = (-3x)/2

Step 3: Substitute the value of the isolated variable into the other equation

Substitute (-3x)/2 for 'y' in the second equation (12x - y - 23 = 0): 12x - ((-3x)/2) - 23 = 0 12x + (3x/2) - 23 = 0

Step 4: Solve for the remaining variable

To solve for 'x', let's get rid of the fraction by multiplying the entire equation by 2:

2(12x) + 3x - 46 = 0 24x + 3x - 46 = 0 27x - 46 = 0

Now, isolate 'x':

27x = 46 x = 46 / 27 x ≈ 1.7037

Step 5: Find the values of both variables

Now that we have the value of 'x', we can find 'y' by substituting the value back into the first equation:

y = (-3 * 1.7037) / 2 y ≈ -2.5555

So, the solution to the system of equations is approximately: x ≈ 1.7037 y ≈ -2.5555