Question

x-8y-17=03x+4y-23=0 решите способом подстановки

Answer 1

x-8y-17=0 => x=8y+17

подставляем это выражение во второе уравнение, т.е.:

3(8y+17)+4y-23=0 <=> 24y+51+4y-23=0 <=> 28y=23-51 <=> 28y=-28=> y=-1

x=8y+17, y=-1 => x=8*(-1)+17 => x= -8+17 +> x=9

Answer 2

Problem Statement

We are given the following system of equations: - Equation 1: x - 8y - 17 = 0 - Equation 2: 3x + 4y - 23 = 0

We need to solve this system of equations using the method of substitution.

Solution

To solve the 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 Equation 1 for x: x = 8y + 17

Now, substitute this value of x into Equation 2: 3(8y + 17) + 4y - 23 = 0

Simplifying the equation: 24y + 51 + 4y - 23 = 0 28y + 28 = 0 28y = -28 y = -1

Now, substitute the value of y back into Equation 1 to find x: x = 8(-1) + 17 x = -8 + 17 x = 9

Therefore, the solution to the system of equations is x = 9 and y = -1.

Note: The solution to the system of equations is x = 9 and y = -1.