Question

Решите систему уравнения способом подстановке:

Answer 1

Х=7+у;подставим во второе 5(7+у)-3у=1;
35+5у-3у=1;
2у=1-35;
2у=-34;
у=-17;
Если у=-17,то х=7+(-17)=-10
Ответ:(-10;-17)

Answer 2

Solving the System of Equations by 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. Let's solve the given system of equations:

Equation 1: -2x + y = 8 Equation 2: 2x + y = 1 We can solve Equation 1 for y and substitute it into Equation 2:

From Equation 1, we have: y = 8 + 2x

Substituting this value of y into Equation 2, we get: 2x + (8 + 2x) = 1

Simplifying the equation, we have: 4x + 8 = 1

Now, let's solve for x:

4x = 1 - 8 4x = -7 x = -7/4

Substituting the value of x back into Equation 1, we can solve for y:

y = 8 + 2(-7/4) y = 8 - 7/2 y = 16/2 - 7/2 y = 9/2

Therefore, the solution to the system of equations is: x = -7/4 and y = 9/2.

Thus, the solution to the given system of equations using the method of substitution is (x, y) = (-7/4, 9/2).