What does x have to equal to make the statement true (solve for x) a. 2x =10
b. -3x = 21
c. 1/3(x) = 6
d. -1/2(x) = -7

See below

Step-by-step explanation:

2x = 10

Divide by 2.

x = 5

x has to equal 5 to make the first statement true.

Proof:

2x = 10

2(5) = 10

10 = 10

-3x = 21

Divide by -3.

x = -7

x has to equal -7 to make the second statement true.

Proof:

-3x = 21

-3(-7) = 21

21 = 21

1/3(x) = 6

Multiply by 3 to cancel the fraction.

x = 18

x has to equal 18 to make the third statement true.

Proof:

1/3(x) = 6

1/3(18) = 6

6 = 6

-1/2(x) = -7

Multiply by -2 to cancel the fraction.

x = 14

x has to equal 14 to make the fourth statement true.

Proof:

-1/2(x) = -7

-1/2(14) = -7

-7 = -7

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9