Question

Математика -x+y=4 x+2y=2

Answer 1

У=4+Х
Х+2•(4+х) =2
х+8+2х=2
3х=2-8
3х=-6
х= -6÷3
х= -2
у=4+(-2) =2

проверяем
-(-2) +2=2+2=4
-2+2•2=-2+4=2

Answer 2

To solve the system of equations -x + y = 4 and x + 2y = 2, you can use either the substitution method or the elimination method. Let's use the elimination method:

Step 1: Multiply both sides of the first equation by 2 to make the coefficients of y in both equations equal:

-2x + 2y = 8 (equation 1, after multiplying by 2) x + 2y = 2 (equation 2, unchanged)

Step 2: Now, subtract equation 2 from equation 1 to eliminate y:

(-2x + 2y) - (x + 2y) = 8 - 2 -2x + 2y - x - 2y = 6 -3x = 6

Step 3: Divide both sides by -3 to solve for x:

x = 6 / -3 x = -2

Step 4: Now that we have the value of x, we can substitute it back into either of the original equations to find y. Let's use the second equation:

x + 2y = 2 -2 + 2y = 2

Step 5: Solve for y:

2y = 2 + 2 2y = 4 y = 4 / 2 y = 2

So, the solution to the system of equations is x = -2 and y = 2.