How can you change linear equation in form ax+by=c to y=mx+b form and vice versa
Answers
Arithmetic operations can be used to change linear equations in form ax+by=c to y=mx+b form and vice versa and this can be determined by simple subtraction and division operation.
Given :
ax + by = c
y = mx + c
The following steps can be used to change the linear equation in form (ax+by=c) to (y=mx+b) form:
Step 1 - Write the equation.
ax + by = c
Step 2 - Subtract ax from both the sides in the above equation.
ax + by - ax = c - ax
by = c - ax
Step 3 - Divide by 'b' from both sides in the above equation.
By following the above steps equation (ax + by = c) can be converted into (y = mx + c).
The following steps can be used to change linear equation in form (y = mx + c) to (ax + by = c) form:
Step 1 - Write the equation.
y = mx + c
Step 2 - Subtract mx from both sides in the above equation.
y - mx = c + mx -mx
y - mx = c
By following the above steps equation (y = mx +c) can be converted into (ax + by = c).
For more information, refer to the link given below:
by = c - ax
y = c/b - ax/b
Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.
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Use the number line to determine the unknown addend in the given number sentence.–4 + _____ = –9A. 13B. 5C.–5 D. –13
38 is what percent of 62?
2(x - 4 ) < 5x + 4
Answers
Answer:
x<4
Step-by-step explanation:
-Simplify the arithmetic
-Group all x terms on the left side of the equation
-Group all constants on the right side of the equation
-Isolate the x.
-Solution on a coordinate plane
Answers
Answer:
There are 60 toddlers in the preschool class
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Percentage of the toddlers in a preschool class drink water with their lunch = 5
Number of the toddlers in a preschool class drink water with their lunch = 3
2. How many toddlers are in the class?
We'll solve the question, using the Direct Rule of Three, this way:
Percentage Toddlers
5 3
100 x
*******************************
5x = 3 *100
5x = 300
x = 300/5
x = 60
There are 60 toddlers in the preschool class
Answers
So,
35/52
Hope this helps!
Answers
The solution is 10⁴ keys
The number of keys made by the elves is given by the equation A = 10⁴
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A = number of keys made by the elves
Let the number of elves = 10 elves
Let the number of xylophones made by each elves = 10 xylophones
So ,
The number of xylophones made by 10 elves = 10 x number of xylophones made by each elves
The number of xylophones made by 10 elves = 10 x 10
The number of xylophones made by 10 elves = 10²
Now ,
Let the number of keys for each xylophones = 10 keys
So ,
The number of keys for 10² xylophones = 10 x number of keys for each xylophones
The number of keys for 10² xylophones = 10² x 10
The number of keys for 10² xylophones = 10³ keys
Now ,
The total number of days = 10 days
So ,
The total number of keys A = The number of keys for 10² xylophones x The total number of days
Substituting the values in the equation , we get
The total number of keys A = 10³ x 10
On simplifying the equation , we get
The total number of keys A = 10⁴ keys
Therefore , the value of A is 10⁴ keys
Hence , the number of keys is 10⁴ keys
To learn more about equations click :
#SPJ2
Hope this helps!!
% 6.4.20
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 5x + 19 and MP = 8x - 8
x=0
Answers
Question:
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 3x + 1 and MP = 8x – 4
Answer:
Value of x = 9, Length of LN = 64, Length of MP = 64
Solution:
Given LMNP is a rectangle. LN and MP are diagonals.
LN = 5x + 19 and MP = 8x – 8
Diagonals of a rectangle are equal in length.
⇒ LN = MP
⇒ 5x + 19 = 8x – 8
Combine like terms together.
⇒ 19 + 8 = 8x – 5x
⇒ 27 = 3x
Divide by 3 on both sides of the expression, we get
⇒ x = 9
The value of x is 9.
To find the length of the diagonals.
LN = 5(9) + 19
= 45 + 19
LN = 64
MP = 8(9) – 8
= 72 – 8
MP = 64
Length of LN = 64 and the length of MP = 64.