# Algebra

posted by Anonymous

How many solutions does this system of equations have?

y = 4x + 3 and 2y - 8x = 3

One, two, infinitely many, or no solutions? My answer is no solutions.

1. Damon

y = 4 x + 3
y = 4 x + 3/2

two lines with the same slope but different y axis intercepts. They never cross each other and therefore there is no solution to this problem.

2. Anonymous

Thanks. I have a couple more:

x = -4y + 4 and 2x + 8y = 8

x - 3y = 15 and 3x - 9y = 4

y - 5x = -6 and 3y - 15x = -12

3. Damon

x - 3y = 15 and 3x - 9y = 4
x - 3 y = 4/3
Same slope, never cross NO solutions !

y - 5x = -6 and 3y - 15x = -12
y - 5 x = -4
AGAIN, they are NOT the same. They are PARALLEL and never cross NO solutions
same m = slope = either the same (infinite solutions of parallel (different y intercept) which means ZERO solutions

4. Anonymous

Seems like both have no solutions. I went a bit off in my calculation. I see now.

5. Damon

When in doubt, sketch a graph

## Similar Questions

1. ### algebra

5x=7+4y 20x-16y=28 how many solutions are there for the system of equations?

1. 2(x – 3) = 2x (1 point) one solution no solutions infinitely many solutions 2. 3(y – 3) = 2y – 9 + y (1 point) one solution no solutions infinitely many solutions 3. 10x – 2 – 6x = 3x – 2 + x (1 point) one solution no …
3. ### math

Help pllsss ASAP!!! have certain answers!! i try but i do not understand! help asap! give answers and walkthrough problems for me! 1. 2(x - 3) = 2x (1 point) one solution no solutions infinitely many solutions 2. 3(y - 3) = 2y - 9 …
4. ### math

Decide whether the each equation has one solution, no solutions,or infinitely many solutions. 1. 2(x-3)= 2X A.One solution B.No solutions C.Infinitely many solutions 2. 3(y-3)= 2y-9+y A.One solution B.No solutions C.Infinitely many …
5. ### Math

1. How many solutions does the system of equations have 3x=-12y+15 and x+4y=5 a. one b. two c. infinitely many*** d. none 2. How many solutions does the system of equations have y=6x+2 and 3y-18x=12 a. one b. two c. infinitely many …
6. ### Algebra

How many solutions does this system have?
7. ### Math

How many real-number solutions does the equation have?
8. ### Math

1.How many solutions does the system of equations have?
9. ### Algebra

5) How many solutions does the system of equations have?
10. ### Math

How many solutions does this system have?

More Similar Questions