Solve for x: 2 over 3 (x - 4) = 2x.

2 answers:

7 0

2/3 (x - 4 ) = 2x

Simplify both sides of the equation.

2/3(x−4)=2x

Simplify:

2/3(x−4)=2x

(2/3)(x)+(2/3)(−4)=2x(Distribute)

2/3x+−8/3=2x

Subtract 2x from both sides.

2/3x+−8/3−2x=2x−2x

−4/3x+−8/3=0

Add 8/3 to both sides.

−4/3x+−8/3+8/3=0+8/3

−4/3x=8/3

Multiply both sides by 3/(-4).

(3/−4)*(−4/3x)=(3/−4)*(8/3)

x=−2

Bess [88]3 years ago

6 0

$\frac { 2 }{ 3 } \left( x-4 \right) =2x\\ \\ 3\cdot \frac { 2 }{ 3 } \left( x-4 \right) =3\cdot 2x\\ \\ 2\left( x-4 \right) =6x\\ \\ 2x-8=6x\\ \\ 6x-2x=-8\\ \\ 4x=-8\\ \\ x=-\frac { 8 }{ 4 } \\ \\ x=-2$

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Comparing Relationships with Tables1. Decide whether each table could represent a proportional relationship.If the relationship

yan [13]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constant of proportionality

Verify each table

table a

Let

x ----> distance

y ----> sound level

For each ordered pair calculate the value of k

k=y/x

(5,85) -----> k=85/5=17

(10,79) ----> k=79/10=7.9

the values of k are differents

that means

the table nor represent a proportional relationship

table b

let

x ----> volume

y ----> cost

k=y/x

(16,1.49) ----> k=1.49/16=0.093125

(20,1.59) ----> k=1.59/20=0.0795

the values of k are differents

that means

the table nor represent a proportional relationship

6 0

2 years ago

PLEASE HELP!!

Marysya12 [62]

The first system of equations has infinite solutions because you can write one equation as a linear combination of the other.The second system of equations has no solution because mathematically an incoherence results -14 = -2 / 7I attach the solutions for greater understanding.
x-4y=12; 5x-20y=60 --> infinitely many
y-7x=-14; 7y-49x=-2 --> none