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3 years ago

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

The solve of this equation is X = 4,06

Step-by-step explanation:

To solve this formula:

2 ( X² - 16) = 1

You must use the distributive law of multiplication, thus:

2X² - (16×2) = 1

2X² - 32 = 1

2X² = 1 + 32

X² = 33/2

X² = 16,5

X = √16,5

X ≈ 4,06

Thus, the solution of this equation is:

I hope it helps!

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Answer:

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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p

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Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

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

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$\dfrac{1}{5}\times 160\\\\=32\ pints$

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3 years ago

Mr. Price earns $350 per week working in an appliance store. In addition, he earns 3% commission on all of his sales. Last week,

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Grace [21]

<h3>Given :-</h3>

$\\$

x=y-1
x+2y=8

$\\$

$\\$

Value of x
Value of y

$\\$

<h3>Solution:-</h3>

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

$\\ \\$

Simplifying 1 equation:-

x = y - 1
x +1 = y
y = x + 1

Put this value of y in second equation.

$\\$

$\dashrightarrow \sf \: x+2y=8$

$\\$

$\dashrightarrow \sf \: x+2(x + 1)=8$

$\\$

$\dashrightarrow \sf \: x+2x +2=8$

$\\ \\$

$\dashrightarrow \sf \: 3x +2=8$

$\\ \\$

$\dashrightarrow \sf \: 3x=8 - 2$

$\\ \\$

$\dashrightarrow \sf \: 3x=6$

$\\ \\$

$\dashrightarrow \sf \: x=6 \div 3$

$\\ \\$

$\dashrightarrow \sf \: x= \bf2$

$\\$

to find value of y :-

y = x + 1

y = 2 + 1

y = 3

$\\$

verification:-

$\\$

1 equation:-

x = y - 1

put value of x and y

2 = 3 - 1

2 = 2

LHS = RHS

Hence verified!

$\\$

2 equation:-

$\\$

x+2y=8

put value of x and y

2 + 2 × 3 = 8
2 + 6 = 8
8 = 8

LHS = RHS

Hence verified!

$\\$

Both equation verified!

.°. value of x and y is 2 and 3 respectively

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