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alexandr402 [8]
3 years ago
12

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

Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0
The answer is 
x _ 2y = 2
<span>3x + y = 6     
</span>3x _ 6y = 6 (1
<span>3x + y = 6  (2
</span>(1 - (2
-7y=0, y=0, so x - 2.0=2 implies x=2
PolarNik [594]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

we have

x-2y=2 ------> equation A

3x+y=6 ------> equation B

Multiply by 2 equation B

2*(3x+y)=2*6 ------> 6x+2y=12 -----> equation C

Adds equation A and equation C

x-2y=2\\6x+2y=12\\--------\\x+6x=2+12\\7x=14\\x=2

Find the value of y

x-2y=2

2-2y=2

2y=0

y=0


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The line through (-1/2, -7/2) and (2, 14) in slope intercept form??
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m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

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m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

m =  \frac{14 -  \frac{-7}{2} }{2 -  \frac{-1}{2} }

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

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and we can change the improper fraction in the numerator into a mixed number for ease of addition.

m =  \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }

And here, we can add, since it's made simple for us.

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Finally, to get the slope we can complete the fraction by dividing.

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The slope of this equation, m, is 7, and so far, our equation looks like this:

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Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

y = 7x + b

Let us substitute in our values.

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Now, we can solve by multiplying the 7 and 2.

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The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

y=7x+0

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y=7x

which is your final equation.

The line through (\frac{-1}{2},  \frac{-7}{2}) and (2, 14) in slope-intercept form is <span>y=7x.
Hope that helped! =) </span>


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