Question

Does 3x 1 = 4x - 3 have no solutions , many solutions , or one solution?

Answer 1

you didn't write which sign the 1 is for the first part so I wrote both.

Explanation:

if it's 3x+1=4x-3:

subtract 1

3x=4x-4

subtract 4x

-x=-4

divide by -1

x=4

check:

3(4) +1=4(4)-3

13=16-3

13=13

one solution

if it's 3x-1=4x-3

add 1

3x=4x-2

subtract 4x

-x=-2

divide by -1

x=2

check:

3(2)+1=4(2)-3

6+1=8-3

7=5

no solution