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gogolik [260]
3 years ago
9

What is the solution to the system of equations? x=4y 6 x-3y=4

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0
If you graph the two equations then you will find that they intersect at (-2,-2).

You then have to check your answer.

x=4y+6
(-2)=4(-2)+6
-2=-8+6
-2=-2

x-3y=4
(-2)-3(-2)=4
-2+6=4
4=4

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6 - 3x = 5x - 10x + 8
Jet001 [13]

Answer:

x=1

Step-by-step explanation:

6-3x=5x-10x+8=

move all terms to the left:

6-3x-(5x-10x+8)=0

add all the numbers together, and all the variables

-3x-(-5x+8)+6=0

get rid of parentheses

-3x+5x-8+6=0

add all the numbers together, and all the variables

2x-2=0

move all terms containing x to the left, all other terms to the right

2x=2

x=2/2

x=1

3 0
3 years ago
A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe
Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

  • Length of the Larger Rectangle =80+2w
  • Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.

6 0
3 years ago
Cameron makes a quilt design using four congruent triangles as shown below. What is the perimeter of the entire design?
Lunna [17]

Answer: 64cm

Step-by-step explanation:

7 0
3 years ago
Between which 2 numbers on a number line will √20 be found?
ehidna [41]

Answer:

C.

Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.

4 0
2 years ago
F(x)= x/5<br> Given the function f above, what is the value of f(100)?
Lera25 [3.4K]

Answer:

20

Step-by-step explanation:

f(x)= x/5

To solve for f(100), we substitute 100 for x everywhere in the equation:

f(100) = (100)/5

f(100) = 20

8 0
3 years ago
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