Solve algebraically the simulaneous equations y=2x^2-3x-10<br>2x-y=-2

Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5

MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be $a$ . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be $\frac{a}{4} +12\\$ . It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be $\frac{a}{3} -5\\$ . Since they are the same, we have the equation below.

$\frac{a}{4} +12 = \frac{a}{3} -5\\$

All we have to do now is to find $a$ .

$\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204$

<h3>Answer:</h3>

Our number must be $204$ . I think

5 0

3 years ago

Anybody know the answer?

expeople1 [14]

Y=x-2+3
I put x-2 because when graphing it's the opposite so it would technically be x+2
Then the +3 for the y chords which go up by 3 ! if this is wrong then try Y= (x-2)+3

8 0

3 years ago

The scale of the drawing was 1 centimeters:4 meters.What is the ratio of the drawing?

muminat

9514 1404 393

Answer:

1 : 400

Step-by-step explanation:

A meter is 100 cm, so 4 m = 400 cm.

1 cm : 4 m = 1 cm : 400 cm = 1 : 400

3 0

3 years ago

Read 2 more answers

Consider the proportion 3:4 = 6:8. What is true about the cross products?

vitfil [10]

Cross products are equal

7 0

2 years ago

Read 2 more answers

0.98x0.23 what is 0.98 times 0.23?

fomenos

Answer:

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Step-by-step explanation:

3 0

2 years ago

Solve algebraically the simulaneous equations y=2x^2-3x-102x-y=-2​

Solve algebraically the simulaneous equations y=2x^2-3x-102x-y=-2