Question

Решите Систему уравнений способом подстановки {x+5y=-2{0,5x-y=6 СРОЧНО помогите

Answer 1

×=-2-5y
0,5(-2-5y)-y=6
-1-2,5y-y=6
-3,5y=7
y=7:(-3,5)
y=-2

Answer 2

Solution using the method of substitution

To solve the system of equations using the method of substitution, we will substitute one equation into the other and solve for the remaining variable.

The given system of equations is: 1. x + 5y = -2 2. 0.5x - y = 6

Let's solve this system step by step:

Step 1: Solve equation 2 for x in terms of y. - Multiply equation 2 by 2 to eliminate the decimal: 2 * (0.5x - y) = 2 * 6 x - 2y = 12 - Rearrange the equation to solve for x: x = 2y + 12

Step 2: Substitute the value of x from equation 1 into equation 2. - Substitute x = 2y + 12 into equation 1: (2y + 12) + 5y = -2 7y + 12 = -2 7y = -2 - 12 7y = -14 y = -14 / 7 y = -2

Step 3: Substitute the value of y into equation 1 to find x. - Substitute y = -2 into equation 1: x + 5(-2) = -2 x - 10 = -2 x = -2 + 10 x = 8

Therefore, the solution to the given system of equations is x = 8 and y = -2.

Answer: The solution to the system of equations using the method of substitution is x = 8 and y = -2.