What number could satisfy both 0.5x + 3 and 2x - 2.5 ?

Answer 1

For Some value of x

0.5 X +3 = 2X -2.5

Subtracting 0.5 X from both sides

0.5 X - 0.5 X + 3 = 2X -2.5 -0.5 X

3 = 2X - 05 X - 2.5

adding 2.5 on both sides

3+2.5 = 1.5 X -2.5 +2.5

5.5 = 1.5 X

X = 11/3

Answer 2

Just set both equations equal to each other and solve for x

0.5x+3 = 2x-2.5

1.5x = 5.5

x = 5.5/1.5 = 11/3

Check:

(1/2)(11/3) + 3 = 4.8333333

(3/2)(11/3) - 2.5 = 22/3-2.5 = 4.8333333

Answer 3

Find out by setting both equal to each other and solve for x:

0.5x + 3 = 2x - 2.5

0.5x - 0.5x + 3 = 2x - 0.5x - 2.5

3 = 1.5x - 2.5

3 + 2.5 = 1.5x - 2.5 + 2.5

5.5 = 1.5x

x = 3.67