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PolarNik [594]
3 years ago
11

How many solutions does the following linear equation have? y = -2x -4 y = 1/2x - 5

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

x=2/5, y=-24/5. (2/5, -24/5).

Step-by-step explanation:

y=-2x-4

y=1/2x-5

----------------

-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5

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3 years ago
G(x) = -2x - 5<br> What is g(-3)?
kipiarov [429]
G-3=12
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5 0
4 years ago
Read 2 more answers
Can you help me please??
dusya [7]

Answer:

y = \frac{4}{5}x+\frac{54}{5}

Step-by-step explanation:

Equation of a line has been given as,

y=\frac{4}{5}x+\frac{3}{5}

Here, slope of the line = \frac{4}{5}

y-intercept = \frac{3}{5}

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = \frac{4}{5}

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = \frac{4}{5}x+b

Since, this line passes through a point (-6, 6),

6 = \frac{4}{5}(-6)+b

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b = 6+\frac{24}{5}

b = \frac{30+24}{5}

b = \frac{54}{5}

Equation of the parallel line will be,

y = \frac{4}{5}x+\frac{54}{5}

4 0
3 years ago
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