Question

Решите систему x+y=-2-x+3y=6

Answer 1

.....................

Answer 2

Х+у=-2
-х+3у=6

х+(-х)+у+3у=-2+6
4у=4
у=4/4
у=1

х+1=-2
х=-2-1
х=-3

-3+1=-2
-(-3)+3*1=3+3=6

Answer 3

To solve the system of equations, we'll use the method of substitution or elimination. Let's use the substitution method:

Step 1: Solve one equation for one variable in terms of the other variable. Step 2: Substitute the expression found in Step 1 into the other equation. Step 3: Solve the resulting equation for the remaining variable. Step 4: Once we find the value of one variable, we can substitute it back into any of the original equations to find the other variable.

Given the system of equations:

1. x + y = -2
2. -x + 3y = 6

Step 1: Solve equation 1 for x: x = -2 - y

Step 2: Substitute the value of x into equation 2: -( -2 - y) + 3y = 6 Simplify: 2 + y + 3y = 6 Combine like terms: 4y + 2 = 6

Step 3: Solve for y: 4y = 6 - 2 4y = 4 y = 4 / 4 y = 1

Step 4: Substitute the value of y back into equation 1 to find x: x + 1 = -2 x = -2 - 1 x = -3

So the solution to the system of equations is x = -3 and y = 1.