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3 years ago

Solve this −14(z−5)=−14z+70

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Answer:

All real numbers are solutions.

Explanation:

−14(z − 5) = −14z + 70

[ Step 1: Simplify both sides of the equation ]

−14(z − 5) = −14z + 70

(−14)(z) + (−14)(−5) = −14z + 70 (Distribute)

−14z + 70 = −14z + 70

[ Step 2: Add 14z to both sides ]

−14z + 70 + 14z = −14z + 70 + 14z

70 = 70

[ Step 3: Subtract 70 from both sides ]

70 − 70 = 70 − 70

0 = 0

Therefore, all real numbers are solutions.

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Solve the system of linear equations using multiplication.

Anna71 [15]

Answer:

$(8,-1)$

Step-by-step explanation:

The given system is:

$3x+3y=21$

$6x+12y=36$

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

$x+y=7$

$x+2y=6$

We could solve the first equation for $x$ and replace the second $x$ with that.

Let's do that.

$x+y=7$

Subtract $y$ on both sides:

$x=7-y$

So we are replacing the second $x$ in the second equation with $(7-y)$ which gives us:

$(7-y)+2y=6$

$7-y+2y=6$

$7+y=6$

$y=6-7$

$y=-1$

Now recall the first equation we arranged so that $x$ was the subject. I'm referring to $x=7-y$ .

We can now find $x$ given that $y=-1$ using the equation $x=7-y$ .

Let's do that.

$x=7-y$ with $y=-1$ :

$x=7-(-1)$

$x=7+1$

$x=8$

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

$3x+3y=21$ with $(x,y)=(8,-1)$ :

$3(8)+3(-1)=21$

$24+(-3)=21$

$21=21$ is a true equation so the "solution" looks promising still.

$6x+12y=36$ with $(x,y)=(8,-1)$ :

$6(8)+12(-1)=36$

$48+(-12)=36$

$36=36$ is also true so the solution has been verified since both equations render true for that point.

5 0

3 years ago

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ruslelena [56]

Answer:

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Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

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3 years ago

It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of responde

vivado [14]

Answer:

0.84 or 84%

Step-by-step explanation:

Let 'n' be number of people who took the survey, the number of men who answered the survey is 0.45n. The number of men who answered the survey and have participated in online auctions is 0.38n. Therefore, choosing from the population of men who took the survey (0.45n) the probability that a respondent had participated in an online auction is:

$P =\frac{0.38n}{0.45n}\\P=0.84$