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3 years ago

3(x+6)+6x+9=7x+8 Solve for x.* A -19/2 B 19/2 C 2/19 D -2/19

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer:

a) -19/2

Step-by-step explanation:

3(x+6)+6x+9=7x+8

3x + 18 + 6x + 9 = 7x + 8

3x + 6x - 7x = 8 - 18 - 9

2x = -19

2x/2 = -19/2

Therefore, x = -19/2

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4 years ago

The total length of pencils A, B and C is 29 cm. Pencil a is 11 cm shorter then pencil B, and pencil B is twice as long a pencil

satela [25.4K]

The length of pencil A is 5 cm

Solution:

Let the length of pencil A be "x"

Let the length of pencil B be "y"

Let the length of pencil C be "z"

The total length of pencils A, B and C is 29 cm

Therefore,

length of pencil A + length of pencil B + length of pencil C = 29

x + y + z = 29 ------------ eqn 1

Pencil A is 11 cm shorter then pencil B

x = y - 11 ------- eqn 2

Pencil B is twice as long a pencil C

y = 2z

$z = \frac{y}{2}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$y - 11 + y + \frac{y}{2} = 29\\\\2y + \frac{y}{2} = 29 + 11\\\\\frac{4y+y}{2} = 40\\\\5y = 80\\\\y = 16$

Substitute y = 16 in eqn 2

x = 16 - 11

x = 5

Thus length of pencil A is 5 cm

5 0

3 years ago