Substitution Method:
3x - 10 = 2x - 5
3x = 2x + 5
x = 5
Now solving for y:
y = 3x - 10
y = 3(5) - 10
y = 15 - 10
y = 5
(x, y) = (5, 5)
Check answer:
5 = 3(5) - 10
5 = 15 - 10
5 = 5
5 = 2(5) - 5
5 = 10 - 5
5 = 5
Since all of the equalities are true, (5, 5) is a true solution
We are given
Staples sells pencils in packs of 12 pencils for 3.50
so, staples cost is
per pencil
per pencil
Office max sells pencils in packs of 15 pencils for 6.50
so, office max cost is
per pencil
per pencil
now, we can find their differences
per pencil
per pencil............Answer
Hey there!
A common ratio is just that number that you multiply or divide to each number that gets you the next in a geometric sequence. In this sequence, we know the numbers are getting bigger and we're multiplying, so we want to know what you're multiplying by the first number to get to the second. We can call this unknown number x. SO if we start with the first number and set up an equation, we get:
3x = 12
Divide both sides by 3
x = 4
Therefore, your common ratio is 4.
To check, you can multiply all the next numbers by 4 to see that it all checks out.
Hope this helps!
Answer:
(-3,3)
Step-by-step explanation:
