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aliina [53]
3 years ago
7

Solve the simultaneous equations 2x+3y=9 4x+y=13

Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

x=3, y=1

Step-by-step explanation:

2x+3y=9. Equation 1

4x+y=13   Equation 2

y=13-4x.  Modify equation 2 to isolate y

2x+3(13-4x)=9 subst value of y of equation 2 into equation 1

2x+39-12x=9 solve equation

-10x+39=9

-10x=-30

x=3

solve for y

2x+3y=9

2(3)+3y=9

6+3y=9

3y=3

y=1

Check answer:

4x+y=13

4(3)+1=13

13=13

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How many minutes are there in 2 3/5 hours
mars1129 [50]

156 minutes.

To find this, remember that an hour has sixty minutes. With this information, it is also given that there are two hours, thus meaning that we have to multiply sixty by two. This will give you 120. Next, you need to figure out the 3/5's portion of an hour. To find 1/5 of an hour, simply divide sixty by five. With that, you get the answer of 12. But because it says 3/5, you need to multiply 12 by 3, giving you 36. Finally, you add 36 to 120 to get the final answer of 156.

Hope this helps!

5 0
3 years ago
An item that was selling for $72.00 was reduced to $60.00. Find the percent decrease in price. Show all your work.
dsp73
The formula to figure out the percentage increase or decrease is: 
<span>(new - old) / old * 100% </span>

<span>new = 60 </span>
<span>old = 72 </span>

<span>(60 - 72) / 72 * 100% </span>
<span>-12 / 72 * 100% </span>
<span>= -1/6 * 100% </span>
<span>= -0.1666... * 100% </span>
<span>≈ -16.667% </span>

<span>Because it is negative, that's a decrease. </span>

<span>Answer: </span>
<span>A decrease of about 16.7%</span>
8 0
3 years ago
Determine the smallest integer that makes -3x+7-5x &lt; 15.
Delvig [45]
Hope so answer is x>-1
8 0
3 years ago
Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat?
Anna11 [10]

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

4 0
2 years ago
The table shows the ratio between the number of books ordered and their cost:
Mrrafil [7]

7 books costs $14, etc.  We have points in a line

(7,14)

(8,16)

(9,18)

They're all points on the line y=2x which just means it costs $2 a book.  So 1 book costs $2, 2 cost $4, and 3 cost $6.  We have three new points:

(1,2)

(2,4)

(3,6)

They're all on the same line, y=2x, just closer to the origin than the first three. We plot a point at x=1, y=2,  etc.

Merry Christmas



7 0
3 years ago
Read 2 more answers
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