Answer:
-<u>One Equation</u>: is set equal to a variable
Example:
y = 2x + 1
x + 3y = -12
You already have y, plug it back into x + 3y = -12
x + 3(2x + 1) = -12
x + 6x + 3 = -12
7x + 3 = -12
(Subtract 3 from each side)
7x = -15
(Divide by 7)
x = - 2.14
-<u>No Equation</u>: is set equal to a variable
Example:
2x + y = 10
4× + 2y = -3
Subtract 2x from each side of 2x + y = 10, you should get y= -2x + 10. Now that you have found y, substitute y into 4x+ 2y = -3.
4x + 2(-2x + 10) = -3
4x + -4x + 20 = -3
(Subtract 20 from each side)
4x + -4x = -23
(Add 4x and -4x)
0 = -23
No Solution
<u>-Both</u><u> </u><u>Equations</u>: are set equal to a variable
Example:
y = x + 5
y = -x + 3
(you already have y so plug it into the other equation to solve for x)
-x + 3 = x + 5
(Add -x on both sides)
3 = 2x + 5
(subtract 5 from both sides)
-2 = 2x
(Divide by 2 on each side)
x = -1
I hope this helped!
Answer:
75.3 degrees ( to nearest tenth).
Step-by-step explanation:
If we take a section through the plane BCHE we get a rectangle.
BC = 2 cm and BE = √(7^2 + 3^2). ( By the pythagoras theorem).
tan < BCE = √(7^2 + 3^2) / 2.
So the m < BCE = 75.3 degrees.
9514 1404 393
Answer:
f(2) = 36
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 6^2
An exponent of 2 means 6 is a factor two times.
f(2) = 6×6
f(2) = 36
Answer:
y = 24 /x
The operations used were: Multiplication and Division
Step-by-step explanation:
Let the number of students who shared the basket = x
Amount of oranges = y
Some students equally share 2 baskets of oranges. Each basket has 12 oranges.
The total number of oranges in basket = 2 baskets × 12 oranges
= 24 oranges
Therefore, the algebraic expression to represent this situation is written as:
y = 24 /x
The operations used were: Multiplication and Division
