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Ratling [72]
3 years ago
15

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

Mathematics
2 answers:
marshall27 [118]3 years ago
5 0

Answer:

-1/6

Step-by-step explanation:


Solve one equation for one variable  v  then plug it into the other and solve for the other variable w .

5v+4w=1\\5v = 1-4w\\v = \frac{1-4w}{5}

Now plug v into the second equation:

\\3(\frac{1-4w}{5}) - 6w = 2\\3(\frac{1-4w}{5}) = 2+ 6w \\\frac{3-12w}{5} = 2+ 6w\\3-12w = 10+ 30w\\-42w = 7\\w = \frac{7}{-42} \\w =-\frac{1}{6}

DochEvi [55]3 years ago
5 0

Answer:

-1/6

Step-by-step explanation:

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Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solv
yan [13]

The numbers are 105 and 50

<em><u>Solution:</u></em>

Let "x" be the first number

Let "y' be the second number

Twice a number plus twice a second number is 310

Therefore,

twice of x + twice of y = 310

2x + 2y = 310 ---------- eqn 1

The difference between the numbers is 55

x - y = 55 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 2,

x = 55 + y ------ eqn 3

<em><u>Substitute eqn 3 in eqn 1</u></em>

2(55 + y) + 2y = 310

110 + 2y + 2y = 310

4y = 310 - 110

4y = 200

<h3>y = 50</h3>

<em><u>Substitute y = 50 in eqn 3</u></em>

x = 55 + 50

<h3>x = 105</h3>

Thus the numbers are 105 and 50

7 0
3 years ago
If he jogs at a constant speed of 9km/h, tell me how far kurt jogs each day. On which day did he jog the furthest?
umka21 [38]

Answer:

It is the same speed everyday

Step-by-step explanation:

It is a constant speed

3 0
3 years ago
1) Given a (x) =6x+2 and b (x) = -8x -11
Elenna [48]
I hope this helps you

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4 years ago
For all the values of x,<br> f(x)=x²+3 g(x)=2x-1 <br> a) find fg(2) <br> b) find gf(2)
erik [133]

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

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

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

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3 years ago
Johnny has a job that pays $6 per hour plus tips. If Johnny worked 5 hours and made $45, write an equation in point-slope form t
stepladder [879]

Answer:

6*5=30

45-30=15

he made 15$ in tips.

6 0
4 years ago
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