Решение:
10(x+y) = 30 + 8x10x + 10y = 30 + 8x10y = 30 + 8x - 10x10y = 30 - 2xy = (30 - 2x) / 10y = 3 - 0.2x
9(x-y) = -49 - 8y9x - 9y = -49 - 8y9x + 8y = -49 + 9y9x + 8y - 9y = -499x - y = -49y = 9x + 49
Now we have two expressions for y:
Setting them equal to each other:3 - 0.2x = 9x + 493 = 9.2x + 49-46 = 9.2xx = -5
Plugging x back into either equation for y:y = 3 - 0.2(-5)y = 3 + 1y = 4
So the solution to the system of equations is x = -5 and y = 4.
Решение:
10(x+y) = 30 + 8x
10x + 10y = 30 + 8x
10y = 30 + 8x - 10x
10y = 30 - 2x
y = (30 - 2x) / 10
y = 3 - 0.2x
9(x-y) = -49 - 8y
9x - 9y = -49 - 8y
9x + 8y = -49 + 9y
9x + 8y - 9y = -49
9x - y = -49
y = 9x + 49
Now we have two expressions for y:
y = 3 - 0.2xy = 9x + 49Setting them equal to each other:
3 - 0.2x = 9x + 49
3 = 9.2x + 49
-46 = 9.2x
x = -5
Plugging x back into either equation for y:
y = 3 - 0.2(-5)
y = 3 + 1
y = 4
So the solution to the system of equations is x = -5 and y = 4.