Systems of equations

Question

how many solutions does the system of equations below have. 2x+4y=6

x+2y=3

 

one solution, no solution or infinite?

Answer 1

Notice by observation that these equations are the same.

 

For example if you assign:

• Equation 1 to be: 2x + 4y = 6, and
• Equation 2 to be:   x + 2y = 3.

Multiply Equation 2 by 2 and you get:

• 2x + 4y = 6    this is the same equation as Equation 1.

There are infinite solutions for this set of equations.