Ok, let’s take it step by step.
In order to write an equation in slope intercept form, solve for y.
3x+4y=12
First, subtract 3x from both sides.
4y=-3x+12
Now, divide both sides by 4.
y=-3/4x+3.
So, 3x+4y=12 written in slope intercept form is y=-3/4x+3.
Answer:

Step-by-step explanation:

Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins:
...(i)
Total amount:
...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get




Divide both sides by 0.15.


Putting x=43 in (iii), we get


So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.
<span>2 quarters, 1 dime and 5 pennies
</span>