Question

How many solutions of the equation 2x + 8 = x + 13 are there on
the
(a)Number line
(b)Cartesian plane?
Draw the graphs for both.

Answer 1

Step-by-step explanation:

Simplifying

2x + -8 = x + 13

Reorder the terms:

-8 + 2x = x + 13

Reorder the terms:

-8 + 2x = 13 + x

Solving

-8 + 2x = 13 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

-8 + 2x + -1x = 13 + x + -1x

Combine like terms: 2x + -1x = 1x

-8 + 1x = 13 + x + -1x

Combine like terms: x + -1x = 0

-8 + 1x = 13 + 0

-8 + 1x = 13

Add '8' to each side of the equation.

-8 + 8 + 1x = 13 + 8

Combine like terms: -8 + 8 = 0

0 + 1x = 13 + 8

1x = 13 + 8

Combine like terms: 13 + 8 = 21

1x = 21

Divide each side by '1'.

x = 21

Simplifying

x = 21

Answer 2

Answer:

×=5

Step-by-step explanation:

2×+8=×+13

=2×-×=13-8

=×=5