For the equation 2x + 3 = 4x – 3:
a. How many solutions does it have?
b. How do you know?

a) one solution, x=3

b) see below

Step-by-step explanation:

2x+3=4x-3

2x=6

x can only be=3

Step-by-step explanation:

2x + 3 = 4x - 3

-2x + 3 = -3

-2x = -6

x = 3

a. one solution

b. used the multi step equation

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.