Alison have 100 baseballs cards .
- A expression is a statement containing at least two numbers/variables and at least one mathematical operation.
- An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division.
- The terms that appear in the formula are:
- Constant: A constant is a fixed number.
- Variables: Variables are symbols that do not have fixed values.
- Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.
- Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Let the number of footballs cards Alison have be "x".
It is given that Allison has 5 times as many baseball cards as football cards which can be represented by an expression given by
number of baseball cards = 5 × number of football cards
number of baseball cards ...(1)
She has total of 120 baseball and football cards which can be represented by an expression given by
Baseball cards + football cards = 120
From equation (1) , put x = 20 we get
Baseball cards =
cards
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You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
$375 for 5 days but it’s $525 for 7 days
Answer:
C
Step-by-step explanation:
Therefore, the correct answer is C. Hope this helps!