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3 years ago

Solve this pair of simultaneous equations. 5x + 2y = 20 x + 4y = 13 X= y=

Mathematics

2 answers:

Katena32 [7]3 years ago

8 0

Answer:

y= 2.5

x= 3

Step-by-step explanation:

multiply eqn 2 by 5

5x +20y =65

eqn 2 -1

20-2)y=65-20

18y=45

y=2.5

x+4×2.5 =13

x+10=13

x=3

olga55 [171]3 years ago

5 0

Y=2.5
x=3

there you go

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Solve for J MUST SHOW WORK j/-2 + 7 = -12 thx!!

Ronch [10]

Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12, subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1 and multiply -19 by -2/1 to get j= 38

5 0

2 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

Find the value of y

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

HELP! Simon invests in a medical company. He buys the stock at $189.35 and sells it for $167.78. What is the percent of decrease

myrzilka [38]

167.78 / 189.35 = .88608 * 100 = 88.6083971481 round it you get 89

3 0

3 years ago

Is this all correct?

Dmitry_Shevchenko [17]

Yes seth your answers are all corret i seen them i did that paper too

6 0

3 years ago

Read 2 more answers

The probability that Ismael makes a basket is 7/10. If he shoots 100 baskets, how many can he expect to make?

sdas [7]

Answer:

70 baskets

Step-by-step explanation:

Let b be the number of baskets he will make if he shoots 100 baskets.

$\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\$

7 0

3 years ago