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36 votes
36 votes
Y = 3x + 2

y = 2x + 2

One solution
No solution
Infinite solutions

User DanMad
by
3.1k points

1 Answer

17 votes
17 votes

Answer:

The answer would be One solution.

Explanation:

Solving by substitution.

y=3x+2;y=2x+2

Step: Solve y=3x+2 for y:

y=3x+2

Step: Substitute 3x+2 for y in y=2x+2:

y=2x+2

3x+2=2x+2

3x+2+−2x=2x+2+−2x(Add -2x to both sides)

x+2=2

x+2+−2=2+−2(Add -2 to both sides)

x=0

Step: Substitute 0 for x in y=3x+2:

y=3x+2

y=(3)(0)+2

y=2(Simplify both sides of the equation)

Answer:

x=0 and y=2

If it was no solution you would not be able to solve. If it was infinite then there would be infinite solutions, but there is not so One Solution is the answer.

User Mjarosie
by
2.9k points