Posted by **peg** on Wednesday, March 2, 2011 at 9:27am.

How many solutions does the following system have:

6x - 3y = 9

2x - y = 3

Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting equation.

could you please explain this to me?

- algebra -
**bobpursley**, Wednesday, March 2, 2011 at 9:35am
number of solutions:no more than the degree of the equation.

In the above, both x,y are degree one, so there is at most one real solution. THere maybe no solutions.

To solve, multiply the lower equation by 3, and you see that they are the same equation, which then has no solution, as the two lines are colinear (the same). It takes graphs that cross each other (intersect) to produce a solution.

## Answer this Question

## Related Questions

math - How many solutions does the following system have: 2x + 5y = 10 3x + 6y...

Algebra 2 Helpp :( - QUESTIONS (vvv) (1) Solve the system by subsitution 2x + y...

algebra 2 - Classify the system , and determine the number of solutions. This ...

Algebra 2 - I need help with this problem because I do not have a graphing ...

Math - number of solution - Determine the number of solutions for the system ...

algebra 1 - Got a test tomorrow... Say you have a system of equations (linear), ...

Algebra - I'm asked to solve the following system using elimination and say how ...

math - Determine the number of solutions for the following system of equations ...

Algerbra II - Classify the system , and determine the number of solutions. The ...

Algebra 2 - 1. What is the first step for solving this system by substitution? ...