Answer: A. Infinite number of solutions
Step-by-step explanation:
The given system of equations is expressed as
x + 3y = 5- - - - - - - - - - - - - -1
4x + 12y = 20- - - - - - - - - - - 2
We would apply the method of substitution. From equation 1, we would make x the subject by subtracting 3y from the left hand side and the right hand side of the equation. It becomes
x + 3y - 3y = 5 - 3y
x = 5 - 3y
Substituting x = 5 - 3y into equation 2, it becomes
4(5 - 3y) + 12y = 20
20 - 12y + 12y = 20
20 = 20
Therefore, the system of equations has an infinite number of solutions because as many values of x and y that satisfy the first equation, they would also satisfy the second equation.
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Answer: b
Step-by-step explanation: $16.80
She goes in, swipes 100 bucks and walks out whistling.
she comes back, he already lost 100 bucks, she comes and buys a pair of trousers and some blouses for 70 bucks, she goes to the counter and pays with the $100 bill. She doesn't have the $100 bill with her anymore, the owner has it.
the owner grabs the bill, gives her credit for $70 and gives her back $30.
the owner gave her credit for $70 in goods and $30 in change, and she walks out whistling with only $30 in cash and $70 in goods.
he's only out 100 bucks, when she took it he was out 100 bucks in cash, when she bought stuff, he was out 70 in goods and 30 in cash, still just 100 bucks.