Question

ПОМОГИТЕ ПОЖАЛУЙСТА Реши систему способом подстановки. 3–5(x−y) = 3x + 7y;2(4x – 5y) –4x = 0,5+ y. Ответ: ....​

Answer 1

Вот полное решение и объяснение

Answer 2

To solve the given system of equations using the method of substitution, we will solve one equation for one variable and substitute it into the other equation. Let's solve the system step by step.

The given system of equations is: 1) 3–5(x−y) = 3x + 7y 2) 2(4x – 5y) – 4x = 0.5y

Step 1: Solve equation 1 for one variable

Let's solve equation 1 for x: 3 – 5(x − y) = 3x + 7y

Expanding the brackets: 3 – 5x + 5y = 3x + 7y

Rearranging the terms: 3y = 8x + 2y

Subtracting 2y from both sides: 3y - 2y = 8x y = 8x

Step 2: Substitute the value of y into equation 2

Now, substitute the value of y (which is 8x) into equation 2: 2(4x – 5(8x)) – 4x = 0.5y

Simplifying the equation: 2(4x – 40x) – 4x = 0.5y 2(-36x) – 4x = 0.5y -72x – 4x = 0.5y -76x = 0.5y

Step 3: Solve for x

To solve for x, we need to isolate x in the equation -76x = 0.5y: -76x = 0.5y

Dividing both sides by -76: x = (0.5y) / -76 x = -0.0066y

Step 4: Find the value of y

Now that we have the value of x in terms of y, we can substitute it back into the equation y = 8x to find the value of y: y = 8x y = 8(-0.0066y) y = -0.0528y

Dividing both sides by -0.0528: 1 = -0.0528

Since 1 is not equal to -0.0528, there is no solution to the given system of equations.

Therefore, the system of equations is inconsistent and does not have a solution.

Let me know if you need any further assistance!