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Alex_Xolod [135]
3 years ago
14

What is the solution to the system of equations 2x-y=7 and y=2x+3

Mathematics
1 answer:
Yuri [45]3 years ago
6 0
Make y the subject in both equations

2x-y=7

-y=-2x+7

y=2x-7

For the second equation

y=2x+3

The two equations are parallel because they have the same gradient or slope but different y intercepts.

This type of equations have no solution because they will never intersect.

NO SOLUTION

The correct answer is C
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3 years ago
Enter the equation of the line in slope-intercept form. Slope is -1/2, and (-9,4) is on the line. The equation of the line is y=
dezoksy [38]

Answer:

y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x is 0)

<u>1) Plug in the slope (</u><u><em>m</em></u><u>)</u>

We're given that the slope is \displaystyle-\frac{1}{2}. In y=mx+b, replace <em>m</em> with \displaystyle-\frac{1}{2}:

y=\displaystyle-\frac{1}{2}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\displaystyle-\frac{1}{2}x+b

We're given the point (-9,4). Plug this point into the equation as (x,y) and solve for <em>b</em>:

4=\displaystyle-\frac{1}{2}(-9)+b\\\\4=\displaystyle\frac{9}{2}+b

Subtract \displaystyle\frac{9}{2} from both sides to isolate <em>b</em>:

4-\displaystyle\frac{9}{2}=\displaystyle\frac{9}{2}+b- \displaystyle\frac{9}{2}\\\\\displaystyle-\frac{1}{2} = b

Therefore, the y-intercept is \displaystyle-\frac{1}{2}. Plug this back into y=\displaystyle-\frac{1}{2}x+b as <em>b</em>:

y=\displaystyle-\frac{1}{2}x+(\displaystyle-\frac{1}{2})\\\\y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}

I hope this helps!

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3 years ago
The answer the the question pictured
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Answer:

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Step-by-step explanation:

be happy bro this is your perfect answer

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Answer:

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Step-by-step explanation:

trrrdvhdhdudjrnrfbfhfsdnrbrhf HRT b4

4 0
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Evaluate v - t when t = 7x + 4 and v = x - 8
Leni [432]

Answer:


Step-by-step explanation: (7x+4)-(x-8)

=7x+4-x+8

=5x+12


4 0
3 years ago
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