Question

Determine the number of solutions to a system of equation:
Please help

Answer 1

Step-by-step explanation: 1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

Answer 2

Explanation:

These equations are all written in slope-intercept form, so the question is relatively easy to answer. These rules apply.

• if slopes are different: 1 solution
• if slopes are the same and y-intercepts are different, 0 solutions
• if slopes are the same and y-intercepts are the same, infinitely many

1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

_____

Slope-intercept form is ...

y = mx +b

m is the slope

b is the y-intercept