which linear equations have an infinite number of solutions? check all that apply.
(x – ) = (x – left-parenthesis x minus startfraction 3 over 7 endfraction right-parenthesis equals startfraction 2 over 3 endfraction left-parenthesis startfraction 3 over 2 x endfraction minus startfraction 9 over 14 endfraction right-parenthesis.)
8(x + 2) = 5x – 14
12.3x – 18 = 3(–6 + 4.1x)
(6x + 10) = 7(startfraction one-half endfraction left parenthesis 6 x plus 10 right-parenthesis equals 7 left-parenthesis startfraction 3 over 7 x minus 2 right-parenthesis. x – 2)
4.2x – 3.5 = 2.1 (5x + 8)

a and c are the correct answers

brainliest please

Step-by-step explanation:

simplify each equation and look for ones which solve to a simple numeric equality:

First equation solves to -3/7=-18/42...take a 6 from 18 and 42, and you get -3/7. -3/7=-3/7 which is true - that means that, no matter what value is inserted for x, a true equation will result = infinite number of solutions

Second equation simplifies to 3x=-30. Nope

Third equation simplifies to -18=-18 = infinite number of solutions

Fourth eq: 5=-7/2 = No solution

5th eq: 6.2x=-3.5-16.2 = nope

An equation with an infinite number of solutions, means that the variable can take any value, and the equation will still be true

The equations with an infinite number of solutions are:

Start by testing the options

(a)

Open brackets

Subtract x from both sides

The above equation is true.

This means that has an infinite number of solutions

(b)

Open bracket

Collect like terms

Divide both sides by 3

The solution to is

(c)

Open brackets

Subtract 12.3x from both sides

The above equation is true.

This means that has an infinite number of solutions

(d)

Express fractions as improper fractions

Multiply through by 2

Multiply through by 7

Collect like terms

Divide through by 6

The solution to is

(e)

Open brackets

Collect like terms

Solve for x

The solution to is

Hence, the equations with an infinite number of solutions are:

and

Read more about equations at:

link

linear pair postulates

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional