The solution of the given system of equation is x = -3 and y = 4 respectively.
<h3>What is a system of linear equations?</h3>
A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
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Answer:
Age of Mel is 25 years.
Step-by-step explanation:
It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.
Let 'x' be the Ali's age and 'y' be the Mel's age
<u>To find the value of x and y</u>
sum of Ali and Mel's age is 39
⇒ x + y = 39 ------(1)
Mel is 3 years younger than twice Ali's age
⇒ y = 2x - 3 -------(2)
⇒ 2x - y = 3 -----(3)
(1) + (3) ⇒
x + y = 39
2x - y = 3
----------------
3x = 42
x = 42/3 = 14
y = 2x - 3 = 14*2 - 3 = 25
Therefore the age of Ali = 14
Age of Mel = 25
The absolute value be pie or square because Pio screwed because the circumference is alsoHope this helps
The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
- (200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)
Using the distributive law;
- 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Learn more on partial sum here: brainly.com/question/6958503
(-1,-2) and (-1,4)
so these have same x values, but different y values, so these are on differnt sidef of circle
distanc between them is 6
6/2=3
radius=3
so move 3 units up from (-1,-2)
(-1,1)
so
if center is (h,k) and radius is r then
(x-h)^2+(y-k)^2=r^2
(-1,1) is center and r=3
(x-(-1))^2+(y-1)^2=3^2
(x+1)^2+(y-1)^2=9
