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ki77a [65]
3 years ago
12

What is the value of the x variable in the solution to the following system of equations?. .

Mathematics
2 answers:
fiasKO [112]3 years ago
7 0

Answer:

B


Step-by-step explanation:


We need to solve for  x  here.

Equation 1:  2x-3y=3

Equation 2:  5x-4y=4

<em>Solving for y  in </em><em>Equation 1 </em><em>and substituting that into </em><em>Equation 2</em><em> gives us:</em>

2x-3y=3\\2x-3=3y\\\frac{2x-3}{3}=y

<em>Substituting this expression into </em><em>Equation 2</em><em> and solving for x  gives us:</em>

5x-4(\frac{2x-3}{3})=4\\5x-(\frac{8x-12}{3})=4\\\frac{15x-8x+12}{3}=4\\15x-8x+12=12\\7x+12=12\\7x=0\\x=0

x=0  is the solution. Answer choice B is correct.

evablogger [386]3 years ago
5 0
2x - 3y = 3.....multiply by 4
5x - 4y = 4....multiply by -3
--------------
8x - 12y = 12 (result of multiplying by 4)
-15x + 12y = -12 (result of multiplying by -3)
-------------
- 7x = 0
x = 0 <===
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A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.
Lesechka [4]

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

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So ratio is 1:2000000

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6 0
2 years ago
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What is 2160 minus 1600 long way
lilavasa [31]
Hey there, Lets solve this problem together. 

The First step is to line up the numbers. 

=  2160&#10;&#10;- 1600 

\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left} 

<span>We calculate </span>0-0<span>the result of which is </span>0<span> 
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<span>We calculate </span>6-0<span> the result of which is </span>6<span>.
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Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.

We calculate 10+1-6, and the result is 5. 

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Therefore, 

2160 - 1600 = 0560 
8 0
2 years ago
3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys
Svetach [21]

Answer:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = x

Given that, \frac{3}{7} of 8th graders play sports

\Rightarrow 8th graders who play sports = \frac{3}{7} \times x

Also, Given that, \frac{3}{5} of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = \frac{3}{5} \times \text{Number of 8th graders who play sports}

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Hence, the answer is:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

6 0
2 years ago
A small pool is being filled with water using a garden hose. The graph shows the percentage of the pool that is full over time.
allsm [11]
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6 0
3 years ago
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F(x) = x^2-3<br> What is the average rate of change on the interval [-5, 2] ?
Mumz [18]

Answer:

(-3).

Step-by-step explanation:

Over this interval, the change in the value of this function is:

f(-5) - f(2) = 22 - 1 = 21.

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The average rate of change of function f over this interval is equal to the change in the function value divided by the corresponding change in x:

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Thus, the average rate of change of f(x) = x^{2} - 3 over the interval [-5,\, 2] would be (-3).

7 0
2 years ago
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