All categories

3 years ago

Simultaneous equations ! Who can help

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

The cost of glass is: £4

The cost of mug = £2

Step-by-step explanation:

Let g be the number of glasses and

m be the number of mugs

$3g+3m = 18\ \ \ \ \ Eqn\ 1\\6g+4m=32\ \ \ \ \ Eqn\ 2$

Multiplying equation 1 by 2

$6g+6m=36\ \ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$6g+6m - (6g+4m) = 36-32\\6g+6m-6g-4m=4\\2m=4$

Dividing both sides by 2

$\frac{2m}{2} = \frac{4}{2}\\m = 2$

Putting m=2 in eqn 1

$3g+3(2) = 18\\3g+6 = 18\\3g = 18-6\\3g = 12$

Dividing both sides by 3

$\frac{3g}{3} = \frac{12}{3}\\g = 4$

Hence,

The cost of glass is: £4

The cost of mug = £2

Keywords: Linear Equation, simultaneous equations

Learn more about linear equation at:

#LearnwithBrainly

You might be interested in

QUICK! WHAT IS THIS ANSWER?

FromTheMoon [43]

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

we want to expand the following expression:

$\displaystyle - \frac{1}{4} ( - 8x + 12y)$

well to do so we consider distributive property thus distribute:

$\displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)$

reduce fraction which yields:

$\displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)$

simplify Parentheses:

$\displaystyle \boxed{ 2x - 3y}$

in the expression there's a common factor of 4 therefore factor it out:

$\displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}$

3 0

3 years ago

Ingrid is making a quilt using squares that measure 2 in on each side. What is the length of a diagonal of one of the quilt squa

Usimov [2.4K]

Answer: bruh nobody needs to know this I won’t use this irl

Step-by-step explanation:

6 0

2 years ago

What is the exponential regression equation that fits these data? y x 1 4 2 8 3 27 4 85 5 250 6 600

Volgvan

Answer:

its is C because the other ones are obvious wrong. So it has to be C plus i did this test.

Step-by-step explanation:

5 0

2 years ago

Ms Melissa and Ms ryanne went for a walk and they got back at 8:02am their walk was actually 45 minutes what time did they leave

dimaraw [331]

Answer: 7: 17

Step-by-step explanation:

This doesn't really make sense but it's how I do it

8:02 = 7:62

7:62

7: 17

6 0

3 years ago

E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best cha

kkurt [141]

E-Z View: 40 + 4.95x
View the best: 25 + 5.95x

Equal monthly bills:

40 + 4.95x = 25 + 5.95x

5.95x - 4.95x = 40 - 25

x = 15

Answer: 15

6 0

3 years ago