Question

5(х+1)+у-0,5=12 {у-х+1,5=0. Решите систему)

Answer 1

Этот метод решения называется метод-подстановки

Answer 2

To solve the given system of equations:

Equation 1: 5(x + 1) + у - 0.5 = 12 Equation 2: у - x + 1.5 = 0

We can solve this system using the method of substitution or elimination. Let's use the substitution method:

From Equation 2, we have: у - x + 1.5 = 0 Rearranging the equation, we get: у = x - 1.5

Now, substitute this expression for у in Equation 1: 5(x + 1) + (x - 1.5) - 0.5 = 12 Simplifying the equation: 5x + 5 + x - 1.5 - 0.5 = 12 Combine like terms: 6x + 3 = 12 Subtract 3 from both sides: 6x = 9 Divide both sides by 6: x = 9/6 Simplify: x = 3/2 or x = 1.5

Now, substitute the value of x back into Equation 2 to find the value of у: у - (1.5) + 1.5 = 0 у = 0

Therefore, the solution to the given system of equations is: x = 1.5 and у = 0.