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4 years ago

What are the solution of the equation 2|×+7|-3=5

Mathematics

2 answers:

goblinko [34]4 years ago

5 0

Answer:

Solution of the equation 2|x +7|-3=5 is :

x1 = - 11 and x2 = - 3

AURORKA [14]4 years ago

3 0

Answer:

x = -3 and x = -11

Step-by-step explanation:

Find the "bare" absolute value function, then solve the two resulting equations.

2|x+7| -3 = 5

2|x +7| = 8 . . . . . add 3

|x +7| = 4 . . . . . . divide by 2

This resolves to two equations:

x +7 = 4

x = -3 . . . . . subtract 7

and

x +7 = -4

x = -11 . . . . . subtract 7

The two solutions are ...

x = -3 and x = -11

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Read 2 more answers

Mrs. Jones buys 7 t shirts and 6 hats for $86. The price of each t shirt is $3 more than the price of each hat. How much does Mr

Maslowich

The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8

Solution:

Let "s" be the price of 1 shirt

Let "h" be the price of 1 hat

Given that Jones buys 7 t-shirts and 6 hats for $86

Therefore, we can frame a equation as:

price of 1 shirt x 7 + price of 1 hat x 6 = 86

$s \times 7 + h \times 6 = 86$

7s + 6h = 86 ------ eqn 1

Also given that The price of each t shirt is $3 more than the price of each hat

price of 1 shirt = 3 + price of 1 hat

s = 3 + h -------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

7( 3 + h ) + 6h = 86

21 + 7h + 6h = 86

21 + 13h = 86

13h = 86 - 21

13h = 65

From eqn 2,

s = 3 + h = 3 + 5 = 8

Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8

8 0

3 years ago

What are the solution of the equation 2|×+7|-3=5​

What are the solution of the equation 2|×+7|-3=5