3x-2y=10 3x-2y=14 solve using substitution or elimination. What's the answer?

Mathematics

2 answers:

CaHeK987 [17]2 years ago

8 0

I hope this helps you

-3x+2y= -10

3x-2y=14

-3x+2y+3x-2y= -10+14

0+0= 6

0=6 false it's not inconsistent

sammy [17]2 years ago

6 0

Let's do elimination since the left sides have the same coefficients.

3x - 2y = 10
3x - 2y = 14

To eliminate, subtract the second equation from the first by multiplying the equation by -1.

3x - 2y = 10
-3x +2y = -14
------------------
0 + 0 = 10 - 14
0 = -4

Hey that's not true! 0 does not equal -4, which means there is no solution to the two equations.
You can confirm this by graphing. The equations do not intersect and therefore there will be no solution.

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An office remodeling job takes 5 & 1/2 days to complete. Before working

Oksana_A [137]

Answer: The percent of the estimated time is the actual time is about 14%.

Step-by-step explanation:

As per given,

Actual time of completing the job = $5\dfrac{1}{2}\text{ days}=\dfrac{11}{2}\text{ days}$

Estimated time for completing the job = $4\dfrac{3}{4}\ \text{days}=\dfrac{19}{4}\ \text{days}$

The percentage error is given by:-

$\%\text{ error}= \dfrac{|\text{Estimated-Actual}|}{\text{Actual}}\times100$

$=\dfrac{|\dfrac{19}{4}-\dfrac{11}{2}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{19-22}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{-3}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{\dfrac{3}{4}}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{3\times2}{11\times4}\times100\\\\\approx14\%$