Solve this simultaneous equation
4x+3y=18
x-3y=7

x=5, y = -2/3

Step-by-step explanation:

4x+3y=18

x-3y=7

Add the two equations together

4x+3y=18

x-3y=7

5x = 25

Divide by 5

5x/5 = 25/5

x = 5

Now solve for y

x - 3y = 7

5 -3y = 7

Subtract 5 from each side

5-3y-5 = 7-5

-3y = 2

Divide by -3

-3y/-3 = 2/-3

y = -2/3

x = 5, y = -2/3

Step-by-step explanation:

4x+3y=18 make x the subject

4x = 18 - 3y

x = (18 - 3y )/4 equation 1

x-3y=7 make x the subject, follow the same method

x = 7 + 3y equation 2

then solve them ( equation1 and equation2 ) simultaneously:

7 + 3y = (18 - 3y )/4

( 7 + 3y ) * 4 = 18 - 3y

28 + 12y = 18 - 3y bring y in one side and numbers in another side

10 = - 15 y

y = - 2/3

if y = -2/3

then x = 7 + 3 ( -2/3 ) from equation 2

x = 7 - 2

x = 5

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.