Question

3.

How many solutions would this system of equations have?
y = 2x + 1
y =2(x+3)
a) One
b) No solutions
c) Two solution
d) Infinitely Many solutions.

Answer 1

b) No solutions

Explanation:

y=2x+1

y= 2(x+3)

Substitute the y in y=2x+1 with 2(x+3)

2(x+3)=2x+1

Then distribute the 2.

2x+6=2x+1

Subtract 2x from both sides to isolate the variable.

6=1

this statement is false, meaning the system of equations has no solutions.