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Complete Question
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.
Write and solve an equation to find the weights of the cat and the dog.
Answer:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Step-by-step explanation:
Let's represent:
Weight of cat = x
Weight of Dog = y
A dog weighs 2 pounds less than 3 times the weight of a cat.
y = 3x - 2........ Equation 1
The dog weighs twenty two more pounds than the cat
y = x + 22....... Equation 2
The equation is given as:
y = y
3x - 2 = x + 22
Collect like terms
3x - x = 22 + 2
2x = 24
x = 24/2
x = 12 pounds
Solving for y using any of the equations:
y = 3x - 2
y = 3 × 12 - 2
y = 36 - 2
y = 34 pounds
Therefore:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Answer: X = 24
Step-by-step explanation:
Move all terms to the left:
(3x + 10) - (2x - 9) - 43 = 0
Get rid of all the parenthesis:
3x + 10 - 2x - 9 - 43 = 0
Add all the numbers and all variable:
x-24 = 0
Move all terms containing x to the left and all other terms to the right:
x = 24
Let's assume
number of birds with 2 wings is x
number of birds with 4 wings is y
A nature museum has 2008 specimens of early birds
so,
Total of wings of 2 wings bird =2x
Total of wings of 4 wings bird =4y
The specimens have a total of 4384 wings
so, we get
we can divide both sides by 2
so, we get system of equations as
we can solve for x and y
We can subtract both equations
so,
number of birds with 2 wings is 1824
number of birds with 4 wings is 184.............Answer
Step 1: Distributive Property
Step 2: Subtraction Property of Equality
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
