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4 years ago

Choose the equivalent system of linear equations that will produce the same solution as the one given below 4x-y=-11 2x+3y=5

Mathematics

1 answer:

julsineya [31]4 years ago

8 0

Answer: x = -2 , y = 3

Step-by-step explanation:

4x-y=-11

2x+3y=5

Solve 4x-y=-11 for y

Add -4x to both sides

4x-y+-4x=-11+-4x

-y=-4x-11

Divide both sides by -1

-y/-1=-4x-11/-1

y=4x+11

Substitute 4x+11 for y in 2x +3y=5

2x+3y=5

2x+3(4x+11)=5

Simplify both sides of the equation

14x+33=5

Add -33 to both sides

14x+33+-33=5+-33

14x=-28

Divide both sides by 14

14x/14=-28/14

x=-2

Substitute -2 for x in y= 4x+11

y=4x+11

y=(4)(-2)+11

Simplify both sides of the equation

y=3

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Read 2 more answers

A school allots £3000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £40 each and are on offer for 1

Bumek [7]

Answer:

£36

Step-by-step explanation:

From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off

Then the cost of each ticket with 1/5 off= (4/5×40)= £32

From the question, A train ticket for the day will cost £20 each.

Then total cost for each of it = £32+£20

=£52

To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.

Let us denote the number of students as "x"

52(x+3)= < 3000

52x + 156 =< 3000

52x =< 3000 - 156

52x =< 2844

X =< 2844/52

s =< 54.69,

The max. Number of students is 54

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The amount of money the school will have as left over = (£3000 - £2964)

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8 0

3 years ago

Type the correct answer in the box. Use numerals instead of words.

aleksley [76]

Answer:

28080$

Step-by-step explanation:

there are 52 weeks in a year.

15x10= 150

150x52=7800

13x30= 390

390x52= 20280

20280+7800= 28080

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3 years ago

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Step-by-step answer:

First we need to know the properties of the given figures.

There are many ways to describe a parallelogram. Here we will use the simple description that

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If we take pencil and paper to construct two parallel and equal lines, and join the corresponding points, we can only get a parallelogram (as long as the figure is convex.

Similarly, if we draw four equal lines to draw a parallelogram, we can only get a rhombus. Therefore a rhombus is a parallelogram with all four sides equal.

See the Venn diagram attached.

Note

(in fact, the minimum definition of a rhombus is "a parallelogram with two adjacent sides equal")

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