Answer:
x = 1, y = -1
Step-by-step explanation:
If we have the two equations:
and
, we can look at which variable will be easiest to eliminate.
looks like it might be easy to get rid of, we just have to multiply
by 2 and y is gone (as -6y + 6y = 0).
So let's multiply the equation by 2.
Now we can add these equations
------------------------
Dividing both sides by 5, we get .
Now we can substitute x into an equation to find y.
Hope this helped!
Answer:
Step-by-step explanation:
Let x = the number of bottles of paint that Carmen can buy
Let y = the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs $2
A box of colored pencils costs $3.50
She can spend no more than $42 on art supplies. This means
She can buy bottles of paint worth 2×x = $2x
She can buy boxes of colored pencils
worth 3.5 × y = $3.5y
Since the total amount she can spend cannot exceed $42, the equation becomes
2x + 3.5y lesser than or equal to 42
This is shown in the attached photo
b) three different solutions to the inequality would be three different possible values that x and y can take. These are
x = 7 while y = 8
x = 10 while y = 6
x = 14 and y = 4
