-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2
-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
y = 5
solution is (2,5)
Answer:
x = -19
Step-by-step explanation:
-3= 12x-5(2x-7)
Distribute
-3= 12x-10x+35
Combine like terms
-3 = 2x +35
Subtract 35 from each side
-3-35 = 2x+35-35
-38 = 2x
Divide each side by 2
-38/2 = 2x/2
-19 =x
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer:
5/7 x 4 = 2.8571 in decimal form.