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balu736 [363]
2 years ago
14

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Mathematics
2 answers:
Anastaziya [24]2 years ago
8 0

<em>The right question is:</em>

\frac{1}{2}x - 3y = 9

5x + y = 28

Answer:

<em></em>x = 6<em> </em>

y = -2<em></em>

<em></em>

Step-by-step explanation:

Given

\frac{1}{2}x - 3y = 9

5x + y = 28

Required

Solve for x and y

Make y the subject of formula in the second equation

y = 28 - 5x

Substitute y = 28 - 5x in the first equation

\frac{1}{2}x - 3(28 - 5x) = 9

Open the bracket

\frac{1}{2}x - 3*28 - 3*- 5x = 9

\frac{1}{2}x - 84 + 15x = 9

Collect Like Terms

\frac{1}{2}x  + 15x = 9+ 84

\frac{x}{2}  + 15x = 9+ 84

\frac{x+30x}{2} = 93

\frac{31x}{2} = 93

Multiply both sides by 2

2 * \frac{31x}{2} = 93 * 2

31x = 186

Divide both sides by 31

\frac{31x}{31} = \frac{186}{31}

x = \frac{186}{31}

x = 6

Recall that y = 28 - 5x

So;

y = 28 - 5 * 6

y = 28 - 30

y = -2

Hence;

<em></em>x = 6<em> and </em>y = -2<em></em>

coldgirl [10]2 years ago
6 0
The answer to the question is x=6 and y=-2
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lozanna [386]

Answer:

About 3 times faster

Step-by-step explanation:

Cheetah's speed = 110 km / hr

World 100m sprint record :

Speed of sprinter :

Distance / time

100 m / 9.58s

= 10.438413 m/s

Convert Cheetah's speed to m/s

110 km/hr = (110 * 1000)m / (60 * 60 s)

= 110000 m / 3600 s

= 30.55555 m/s

Number of times cheetah is faster than sprinter :

30.55555 m/s ÷ 10.438413 m/s

= 2.927 times

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3 years ago
One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?
Mamont248 [21]
The answers is B 560
7 0
2 years ago
Read 2 more answers
BRAINLIEST ASAP! PLEASE HELP ME :)
marta [7]
<h3>Answer: C) none of the equations are identities</h3>

If you plugged theta = 0 into the first equation, then you would have

sin(45) + cos(45) = sin(0) + cos(0)

sqrt(2) = 1

which is a false equation. We don't have an identity here.

The same story happens with the second equation. Plug in theta = 0 and it becomes

cos(60) - sin(60) = cos^2(0) + tan(0)

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6 0
3 years ago
A certain book had an original rating of 27 out of 30 points on a survey chart. Each month, the rating fell by 3 points. Express
Natali [406]

Answer:

D.) f(m)=27−3m

Step-by-step explanation:

Given that:

Original rating = 27

Total possible rating points = 30

Drop in rating point per month = 3

m = number of months since release :

Hence,

F(m) = original rating - drop in rating per month * number of months since release

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7 0
2 years ago
PLEASE HELP!!
olga_2 [115]

The value of a = 2.17 and b = 1.95.

<h3>What is regression line?</h3>

A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables;

y=2.01*1.93^{x}

Correlation:

r=0.964

R-squared:

r²=0.9292

Hence, value of a and b is 2.17 and 1.95.

learn more about regression line here:

brainly.com/question/11340674

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