Question

Решите систему уравнения методом подстановки x-2y=3 x+ y=4 помогите пожалуйста срочно нужно заранее спасибо

Answer 1

Х=4-у  подставим

4-у-2у=3
-3у=3-4
-3у=-1
у=1\3

х-2\3=3
х=3 2\3

Answer 2

Solution to the System of Equations using the Substitution Method

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

Given the system of equations: 1. x - 2y = 3 2. x + y = 4

Let's solve equation 2 for x: x = 4 - y

Now, substitute this expression for x in equation 1: (4 - y) - 2y = 3

Simplifying the equation: 4 - y - 2y = 3 4 - 3y = 3

To isolate y, subtract 4 from both sides: -3y = 3 - 4 -3y = -1

Divide both sides by -3 to solve for y: y = -1 / -3 y = 1/3

Now that we have the value of y, substitute it back into equation 2 to find x: x + (1/3) = 4

Subtract (1/3) from both sides: x = 4 - (1/3) x = 11/3

Therefore, the solution to the system of equations is: x = 11/3 and y = 1/3.

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