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Gnoma [55]
3 years ago
15

If you were to solve the following system by substitution, what would be the best

Mathematics
2 answers:
alexira [117]3 years ago
4 0

Answer:

x, In the first equation.

Step-by-step explanation:

xxMikexx [17]3 years ago
3 0
To solve the two equations simultaneously using the substitution method we need to rearrange one of the equation to make either 'x' or 'y' the subject. 

We can try in turn rearranging both equations and see which unknown term would have been easier to solve first

Equation 2x+8y=12

Making 'x' the subject
2x=12-8y , dividing each term by 2
x=6-4y⇒ (Option 1)

Making 'y' the subject
8y=12-2x, multiply each term by 8 gives
y= \frac{12}{8} - \frac{2}{8}x⇒ (Option 2)

Equation 3x-8y=11
Making 'x' the subject
3x=11+8y, divide each term by 3
x= \frac{11}{3}+ \frac{8}{3}y ⇒ (Option 3)

Making 'y' the subject
8y=3x-11, divide each term by 8
y= \frac{3}{8}x- \frac{11}{8} ⇒ (Option 4)

From all the possibilities of rearranged term, the most efficient option would have been the first option, from equation 2x+8y=12 with 'x' as the subject, x=6-4y





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What are the solutions to the equation 13x? - 17x + 7 = 0?<br> ©
ICE Princess25 [194]

Answer:

x=7/4

Step-by-step explanation:

13x-17x+7=0

-4x+7=0

-4x+7-7=0-7

-4x=-7

-4x/-4=-7/-4

x=7/4

8 0
3 years ago
If 0 = 6n -36 what is the value of n -5
juin [17]
0=6n- 36

6n-36

6 x-5-36

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8 0
3 years ago
3. Tom, Sam and Matt are counting drum beats.
just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0
2 years ago
If you’re good with geometry can you help me?
Paladinen [302]

Answer:

a: AB is perpendicular to CD

b: AM is equal in length to BM

4 0
3 years ago
What is the value of tan C in this triangle?​
goblinko [34]

Answer:

\large\boxed{\dfrac{24}{7}}

Step-by-step explanation:

tangent=\dfrac{opposite}{adjacent}

We have

opposite=24\\adjacent=7

Substitute:

\tan C=\dfrac{24}{7}

5 0
3 years ago
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