Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b
so we also need to convert ax+by=c into y=mx+b as shown below:



divide both sides by

Now compare it with y=mx+b, we get

So using values of a and b, we can find the slope
compare given equation -5x+2y=15 with ax+by=c, we get:
a=-5, b=2
Now plug both into above formula



Now matching these details with given choices we find that THIRD choice is the final answer.
Answer:
60 eggs.
Step-by-step explanation:
a dozen is 12. So 5 times 12 is 60.
small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ <u> -8s -8 L = -176 </u>
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames
Answer:
$341 the selling price
Step-by-step explanation:
Cost $620
$620-45% ($279 profit)
$620-$279=$341 should be the selling price
Answer:
The original fraction is 13/27
Step-by-step explanation:
Let the fraction be x/y. This means that the numerator is x and the denominator is y.
One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that
1/5 (x+y) = 8
Cross multiplying with 5,
x+y = 5×8 = 40 - - - - - - - -1
If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that
(22-x)/y = 1/3
Cross multiplying with y and 3,
3(22-x) = y×1
66-3x = y - - - - - -2
Substituting y = 66-3x into equation 1, it becomes
x + 66 - 3x = 40
x -3x = 40-66
-2x = -26
x = 26/2 = 13
y = 40 - x = 40 - 13
= 27
The original fraction is 13/27