Question

How many solutions does the system of equations below have?

y = 3x + 4
y+ 6 = 3x
O A. Exactly 1 solution
O B. More than 1 solution
O C. At least 1 solution
O D. No solution

Answer 1

No solution

Explanation:

Let's solve your system by substitution.

y=3x+4;y+6=3x

Step: Solvey=3x+4for y:

y=3x+4

Step: Substitute3x+4foryiny+6=3x:

y+6=3x

3x+4+6=3x

3x+10=3x(Simplify both sides of the equation)

3x+10+−3x=3x+−3x(Add -3x to both sides)

10=0

10+−10=0+−10(Add -10 to both sides)

0=−10

Answer:

No solutions.