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MrRa [10]
3 years ago
13

Ifx + 2y = 8 and - 2x + 3y = 5, then what is the value of 2x + 3y?

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

13

Step-by-step explanation:

Given the 2 equations

x + 2y = 8 → (1)

- 2x + 3y = 5 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 8 - 2y → (3)

Substitute x = 8 - 2y into (2)

- 2(8 - 2y) + 3y = 5 ← distribute and simplify left side

- 16 + 4y + 3y = 5

- 16 + 7y = 5 ( add 16 to both sides )

7y = 21 ( divide both sides by 7 )

y = 3

Substitute y = 3 in (3) for corresponding value of x

x = 8 - 2(3) = 8 - 6 = 2

Thus x = 2 and y = 3

2x + 3y = 2(2) + 3(3) = 4 + 9 = 13

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What is the area of a right triangle with a hypotenuse of 12 and 1 leg is 10??
Agata [3.3K]
Hey there! :)

Area of triangles → (base × height) ÷ 2

The base and height are the 2 legs. You have to find the length of the other leg to find the area, using the Pythagorean Theorem.

a² + b² = c² → c² - a² = b²

c = 12
12² = 12 × 12 = 144

a = 10
10² = 10 × 10 = 100

144 - 100 = 44

√44 = 6.6
_____________________________________________________________

Area of triangles → (base × height) ÷ 2

Base: 10
Height: 6.6

6.6 × 10 = 66

66 ÷ 2 = 33

The area is 33 

Hope this helps :)


5 0
3 years ago
PLZ HELP FAST <br><br> If you spend $3 on 6b apples, what is the unit rate (in dollars) per apple?
Ierofanga [76]

Answer:.

.50

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The question is in the picture, please help!!<br> a. (16/7 , 6/7)<br> b.(4 , 6/7)<br> c.( 2 , 6/7)
lianna [129]

Answer:

b.(4,6/7)

Step-by-step explanation:

i hope i was able to help with the question

4 0
2 years ago
You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day a
Deffense [45]

Answer: 30+x+y

Step-by-step explanation:

  • Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend  = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you  = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend  + Total CDs sold by you

=  14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y   [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

6 0
3 years ago
-3r +9 = -4r +5<br>what's r?​
-BARSIC- [3]

Answer:

-4

Step-by-step explanation:

-3r+9=-4r+5

-3r+4r=5-9

r=-4

8 0
3 years ago
Read 2 more answers
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