All categories

3 years ago

Solve the simultaneous equations 8x+3y=45 2x+3y=27

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

x = 3 and y = 7

Step-by-step explanation:

Given that,

8x+3y=45 .......(1)

2x+3y=27 ........(2)

We need to solve equations (1) and (2)

Multiply equation (2) by 4.

8x+12y=108 .....(3)

Subtract equation (1) from (3).

8x+12y-(8x+3y)=108-45

12y-3y = 63

9y = 63

y = 7

Put the value of y in equation (1).

2x+3(7)=27

2x+21 = 27

2x = 27-21

2x = 6

x = 3

So, the values of x and y are 3 and 7 respectively.

You might be interested in

What is a way to write 11 more than twice x is less than 44

madam [21]

(2x) + 11 < 44

x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.

4 0

3 years ago

Read 2 more answers

Question #5

erastova [34]

X=9 how to solve: 72+48=8x+48
72=8x 8*9=72

4 0

3 years ago

Express answer in exact form. Show all work for full credit.Find the area of one segment formed by a 6" square inscribed in a ci

Zinaida [17]

The area of the square is:

$\begin{gathered} As=6^2 \\ As=36in^2 \end{gathered}$

And the area of the circle is:

$\begin{gathered} Ac=\pi r^2 \\ Ac=\pi\cdot(3\sqrt[]{2})^2 \\ Ac=18\pi \end{gathered}$

The area of one segment is given by:

$\begin{gathered} A=\frac{Ac-As}{4} \\ A=\frac{18\pi-36}{4} \end{gathered}$

7 0

2 years ago

At the amusement park each student is given $16 for food this covers the cost of $2 plus $4 for snacks how much money does the s

sweet [91]

The school expects them to spend $10 dollars.

5 0

3 years ago

Read 2 more answers

Please help me with number 8 please!!

forsale [732]

The answer to number eight is
That it would have to reflect in the middle and it has Proportional angles.

7 0

2 years ago