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3 years ago

Solve for and in the following simultaneous equations below; 5x−4y=8 and 2x+y=11.

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

7 0

Answer:

x=4 and y=3

Step-by-step explanation:

put one of the equations in slope form and solve

DanielleElmas [232]3 years ago

3 0

Answer:x=4 y=3

Step-by-step explanation:

5x-4y=8.............(1)

2x+y=11................(11)

From (11) y=11-2x

Substitute y=11-2x in 5x-4y=8

5x-4y=8

5x-4(11-2x)=8

Open bracket

5x-44+8x=8

Collect like terms

5x+8x=8+44

13x=52

Divide both sides by 13

13x/13=52/13

x=4

Substitute x=4 in 2x+y=11

2(4)+y=11

8+y=11

Collect like terms

y=11-8

y=3

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Answer:

4(6y + 22x)

Step-by-step explanation:

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2 years ago

Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES

Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

$\frac{32}{12},$

and the fraction that represents Bob's rate is:

$\frac{64}{25}\text{.}$

Simplifying the above fractions, we get:

$\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}$

Since:

$\frac{8}{3}\ne\frac{64}{25}$

then Bob and Joe did not work at the same rate.

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4 0

1 year ago

2) Evaluate the given numerical expression. A) 9 B) 12 C) 14 D) 21

eduard

Answer:

$\boxed{\sf{14}}$

Step-by-step explanation:

$\boxed{\underline{\text{ORDER OF OPERATIONS:}}}$

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

PEMDAS

Parentheses
Exponents
Multiply
Divide
Add
Subtract

BODMAS

Brackets
Order
Divide
Add
Subtract

First, do parentheses.

3+6*(5+4)÷3-7

(5+4)=9

$\Longrightarrow: \sf{3+6* 9\div 3-7}$

Do multiply and divide.

6*9=54

54/3=18

Then, rewrite the problem down.

$\Longrightarrow: \sf{3+18-7}$

Add.

$\sf{3+18=21}$

$\sf{21-7=\boxed{\sf{14}}$

$\Longrightarrow: \boxed{\sf{14}}$

Therefore, the correct answer is "C. 14".

I hope this helps, let me know if you have any questions.

8 0

2 years ago