Given:
1st purchase: <span>38 bed sheets and 61 towels for $791.50
2nd purchase: </span><span>54 bed sheets and 50 towels for $923
Let x = bed sheets ; y = towels
38x + 61y = 791.50
54x + 50y = 923.00
Find the value of y:
50y = 923.00 - 54x
y = 923/50 - 54x/50
y = 18.46 - 1.08x
Substitute y to find the value of x.
38x + 61y = 791.50
38x + 61(18.46 - 1.08x) = 791.50
38x + 1126.06 - 65.88x = 791.50
38x - 65.88x = 791.50 - 1126.06
- 27.88x = -334.56
x = -334.56/ -27.88
x = 12
Find the value of y using the value of x.
y = 18.46 - (1.08x)
y = 18.46 - (1.08*12)
y = 18.46 - 12.96
y = 5.5
Each bed sheet costs $12 and each towel costs $5.50
To check:
</span>38x + 61y = 791.50
38(12) + 61(5.5) = 791.50
456 + 335.5 = 791.50
791.50 = 791.50
<span>54x + 50y = 923.00</span>
54(12) + 50(5.5) = 923
648 + 275 = 923
923 = 923
D /////////////////////////////
{
x
=
1
y
=
4
Explanation:
Take a look at your starting system of equations
{
5
x
+
y
=
9
10
x
−
7
y
=
−
18
Notice that if you multiply the first equation by
(
−
2
)
, and add the right-hand sides and the left-hand sides of the equations separately, you can eliminate the
x
-term.
This will leave you with one equation with one unknown,
y
.
{
5
x
+
y
=
9
∣
⋅
(
−
2
)
10
x
−
7
y
=
−
18
{
−
10
x
−
2
y
=
−
18
10
x
−
7
y
=
−
18
---------------------------------------------------
−
10
x
−
2
y
+
10
x
−
7
y
=
−
18
+
(
−
18
)
−
9
y
=
−
36
⇒
y
=
(
−
36
)
(
−
9
)
=
4
Now use this value of
y
in one of the two original equations to find the value of
x
5
x
+
(
4
)
=
9
5
x
=
5
⇒
x
=
5
5
=
1
Answer:
1,027 milliliters
Step-by-step explanation:
1 liter is 1,000 milliliters
2 centiliters is 20 milliliters
7 milliliters stays the same
Adding up the new numbers gives you
1,000+20+7
Answer:
22/39
Step-by-step explanation:
First, you start by adding up all of your straws(39), and then add just the straws you want to draw(22).
Next, you make 22(the straws you WANT to draw) your numerator, and 39(your total) your denominator.
Finally, find the GCF (Greatest Common Factor) - which is 1 - and divide both numbers by it, to get 22/39.