Question

The system of linear equations y = negative 3 x + 5 and y = negative 3 x minus 6 is graphed below.

How many solutions does the system of equations have?
0
1
3
4

Answer 1

0

Explanation:

Let's solve your system by substitution.

y=−3x+5;y=−3x−6

Step: Solvey=−3x+5for y:

y=−3x+5

Step: Substitute−3x+5foryiny=−3x−6:

y=−3x−6

−3x+5=−3x−6

−3x+5+3x=−3x−6+3x(Add 3x to both sides)

5=−6

5+−5=−6+−5(Add -5 to both sides)

0=−11

Answer:

No solutions.

Answer 2

0

Explanation:

if they have the same slope then they never intercept