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3 years ago

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

1 answer:

3 0

The system of equations is
x - 2y = 2 (1)
3x + y = 6 (2)

From (1), obtain
x = 2y + 2 (3)

Substitute (3) into (2).
3(2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
From (3), obtain
x = 2*0 + 2 = 2

Answer: (2, 0) or x=2, y=0

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Misha Larkins [42]

Easy there on the caps, partner.

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3 years ago

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2 years ago

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

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3 years ago

If LK=MK, LK=7x-10,KN=x+3, MN=9x-11 and KJ=28 find LJ

beks73 [17]

Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

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2 years ago

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Roman55 [17]

Answer:

Step-by-step explanation:

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2 years ago

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