Given:
-2y + 5z = -3 <span>(first equation)
</span>y = -5x - 4z - 5 (second equation)
x = 4z + 4 <span>(third equation)<span>
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Solution:
PART 1
Substitute x with (4z + 4) in the second equation
y = -5x - 4z - 5
y = -5(4z + 4) - 4z - 5
Then simplify
y = -20z - 20 - 4z - 5
add like terms
y = -20z - 4z - 20 - 5
y = -24z - 25
PART 2 : Find the value of z
We got y is equal to (-24z - 25). Substitute y with (-24z - 25) in the first equation, and we'll find the value of z.
-2y + 5z = -3
-2(-24z - 25) + 5z = -3
48z + 50 + 5z = -3
add like terms
48z + 5z = -3 - 50
53z = -53
z = -53/53
z = -1
The value of z is equal to -1
PART 3: Find y and x
Find the value of y by substitution of -1 in the place of z.
y = -24z - 25
y = -24(-1) - 25
y = 24 - 25
y = -1
The value of y is equal to -1
Find the value of x by substitution of -1 in the place of z.
x = 4z + 4
x = 4(-1) + 4
x = -4 + 4
x = 0
The value of x is equal to 0
Hi there! With equations like this we want to get our variable on one side and and our constant on the other.
So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.
Hope you find this helpful :)
<h3>
<u>Required</u><u> </u><u>solution</u><u> </u><u>:</u></h3>
- Diameter (d) = 7
- Height = 8
Therefore,
- Radius (r) = d / 2
- Radius (r) = 7/2
We know that :
Substituting the values :
>> V = π × (7 / 2)^2 × 8
>> V = π × (49 / 4) × 8
>> V = π × 49 × 2
>> V = 98π
Henceforth,
Answer:
Step-by-step explanation:
Two negatives make a positive, so -(-4) = +4. On a number line, -(-4) would be located 4 units to the right of 0.