Plug more than one point into the original equations to show that the equations can have more than one solution.
7x+3=7x+3
3(4x+8)=4(3x+6)
For the equation 7x+3=7x+3:
Let's plug in x=0:
7(0)+3 = 7(0)+3
0+3 = 0+3
3 = 3
The equation is true when x=0.
Now let's plug in x=1:
7(1)+3 = 7(1)+3
7+3 = 7+3
10 = 10
The equation is true when x=1.
So, we have multiple solutions for this equation.
For the equation 3(4x+8)=4(3x+6):
Let's plug in x=0:
3(4(0)+8) = 4(3(0)+6)
3(8) = 4(6)
24 = 24
The equation is true when x=0.
Now let's plug in x=1:
3(4(1)+8) = 4(3(1)+6)
3(12) = 4(9)
36 = 36
The equation is true when x=1.
So, we have multiple solutions for this equation as well.