1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vazorg [7]
3 years ago
5

Whats the solutions to

Mathematics
2 answers:
Volgvan3 years ago
6 0
X+2y=4
Multiply both side by 2
x*2+2y*2=4*2
2x+4y=8

2x-2y=5
Next, use substitute property
2x+4y=8
-
2x-2y=5
=
6y=3
Divided both side by 6
6y/6=3/6
y=0.5

x+2y=4
Substitute y with 0.5
x+2(0.5)=4
x+1=4
Subtract 1 to each side
x+1-1=4-1
x=3, so the solution to this equation is (3,0.5)

7x-2y=-20
Multiply both side by 2
7x*2-2y*2=-20*2
14x-4y=-40

9x+4y=-6
Then, Use substitute property
14x-4y=-40
+
9x+4y=-6
=
23x=-46
Divided 23 to each side
23x/23=-46/23
x=-2

7x-2y=-20
Substitute x with -2
7(-2)-2y=-20
-14-2y=-20
Add 14 to each side
-14-2y+14=-20+14
-2y=-6
Divided -2 to each side
-2y/-2=-6/-2
y=3, so the solution to this equations are (-2,3)

2x+y=7
-3x+y=2
Then, use substitute property
2x+y=7
-
-3x+y=2
=
5x=5
Divided 5 to each side
5x/5=5/5
x=1

2x+y=7
Substitute x with 1
2(1)+y=7
2+y=7
Subtract 2 to each side
2+y-2=7-2
y=5, so the order pair is (1,5). Hope it help!
andrezito [222]3 years ago
4 0
1st problem:
Solve for x, then substitute that in for x in the second equation. Solve for y. Substitute value of y into first equation. Solve for x. This gives the point of intersection.
\left \{ {{x+2y=4} \atop {2x-2y=5}} \right.  \\  \\ x=4-2y \\ 2(4-2y)-2y=5 \\ 8-8y-2y=5 \\ -10y=-3 \\ y=\frac{3}{10}  \\ x=4-2(\frac{3}{10} )= \frac{23}{5}  \\ 
(  \frac{23}{5}, \frac{3}{10} )

2nd problem:
Multiply the first equation by 2 and then add the two equations. Solve for x. Substitute the value for x into the second equation. Solve for y. This gives the point of intersection.
\left \{ {{7x-2y=-20} \atop {9x+4y=-6}} \right. \\ \\ 14x-4y=-40 \\ 23x=-46 \\ x=-2 \\ 7(-2)-2y=-20 \\ -2y=-34 \\ y=17 \\ (-2,17)

3rd problem:
Solve for y in the first equation and substitute that into the second equation. Solve for x. Substitute into first equation. This gives the point of intersection.
\left \{ {{2x+y=7} \atop {-3xy=2}} \right. \\ \\ y=7-2x \\ -3x+(7-2x)=2 \\ -5x=-5 \\ x=1 \\ y=7-2(1)=5
\\ (1,5)


You might be interested in
There were 27,000 people at a ball game in Los Angeles. The day's receipts were $204,000. How many people paid $13 for reserved
Studentka2010 [4]
21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
5 0
3 years ago
45 45 90<br> This question is using the 45 45 90 rule can someone help
AleksAgata [21]

Answer:

x= 4.24

y= 4.24

Step-by-step explanation:

1) I began by analyzing the given number, which in this case is the hypotenuse. I know the hypotenuse is equal to x√2.

2) I divided 6 by √2, which gave me 4.24.

5 0
2 years ago
Sam is an apprentice carpenter whose boss asked him to construct a perfectly rectangular frame with a diagonal brace. When Sam h
zalisa [80]
If it's a perfectly rectangle frame with W = 50 cm & L= 90 cm

So the right diagonal should be √(50² +90²) = √10600 =102.96 cm

as per the calculation the diagonal should have a length of 102.96 cm, but the boss found 100 cm, that means their should be a frame which diagonal equal to 100 cm, short by 2.96 cm, that means short by 2.96/2 = 1.48 cm from the bottom & 1.48 cm from the top (same as well as for the 2nd diagonal)
In this case the boss should be happy

3 0
3 years ago
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!
Levart [38]

Answer:

A.

Step-by-step explanation:

4 0
2 years ago
You have$560 in an account which pays 4.8% compounded annually. If you invest your money for 8 years, then how many dollars of i
SCORPION-xisa [38]

Answer:

$ 254.85

Step-by-step explanation:

Total amount invested = $ 560

Interest rate = r = 4.8% = 0.048

Time in years = t = 8 years

The formula for compound interest is:

A =P(1+\frac{r}{n})^{nt}

Here,

A is the total amount accumulated after t years. P is the amount invested initially and n is the compounding periods per year. Since in this case compounding is done annually, n will be 1. Using the values in the above formula, we get:

A=560(1+\frac{0.048}{1})^{8} = \$ 814.85

Thus, the total amount accumulated after 8 years will be $ 814.85

The amount of interest earned will be:

Interest = Amount Accumulated - Principal Amount

Interest = $ 814.85 - $ 560 = $ 254.85

By the end of 8 years, $ 254.85 would be earned in interest.

7 0
3 years ago
Other questions:
  • A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of
    5·3 answers
  • Which of the points are solutions to the inequality? Check all that apply.
    14·1 answer
  • What's the answer for the 2nd question?
    14·2 answers
  • Is line e perpendicular to line g?
    5·1 answer
  • Instructions: Find mFG.<br> F<br> ?<br> G<br> 55°
    14·1 answer
  • I need help determining how to use the graph or table and write/ match a linear function that relates y to x​
    10·1 answer
  • The table represents a sample of ages and people and their shoes size.
    13·2 answers
  • Which expressions are equivalent to 4(4a+5)
    8·1 answer
  • Can someone help me? look at the picture
    7·1 answer
  • I NEED ANSWERS RIGHT NOW
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!