The two slopes of the two equations are 2 and 3 respectively. They are the values just to the left of the x. Since the slopes are different, this means the lines are angled so that they are not parallel.
Non-parallel lines will cross exactly one time. So there is exactly one solution.
Answer:
x = 13 1/2 or 27/2
Step-by-step explanation:
1st Add 2 to both sides: 2/3x-2+2=7+2
2nd Simplify: 2/3x = 9
3rd Multiply both sides by 3: 3*2/3x=9*3
4th Simplify: 2x=27
5th Divide both sides by 2: 2x÷2=27÷2
6th Simplify: x = 13 1/2 or 27/2