Which linear equations have an infinite number of solutions? check all that apply. (x – 3\7) = 2\3 (3\2x – 9\14 ) 8(x + 2) = 5x – 14 12.3x – 18 = 3(–6 + 4.1x) 1\2(6x + 10) = 7(3\7x – 2) 4.2x – 3.5 = 2.1 (5x + 8)

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

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

a and c

Step-by-step explanation:

i took the test

The answer is A and C. They both have infinite solutions

We are given

system of equations as

It will have infinite solution when both equations will become same

so, we will set coefficients of x and y of both terms equal

We can see

coefficient of x in first equation is 2

coefficient of x in second equation is a+b

so, we get

coefficient of y in first equation is 3

coefficient of y in second equation is 2a-b

so, we get

now, we can find b from first equation

we can plug it in above equation

now, we can solve for a

we get

now, we can find b

so,

.................Answer

we know that

In a linear equation if the left side is equal to the right side

then

the system has an infinite number of solutions

we're going to verify every case

case A)

In this case the left side is equal to the right side

therefore

the system case A) has an infinite number of solutions

case B)

In this case the left side is not equal to the right side  

therefore

the system case B) does not have an infinite number of solutions

case C)

In this case the left side is equal to the right side  

therefore

the system case C) has an infinite number of solutions

case D)

In this case the left side is not equal to the right side  

therefore

the system case D) does not have an infinite number of solutions

case E)

In this case the left side is not equal to the right side  

therefore

the system case E) does not have an infinite number of solutions

therefore

the answer is

Anything that has an equation like x0. Also equations like x=x or xy=xy

Coinciding lines. These are lines that are on top of one another and go forever.