Tell whether the system has one solution infinite solution many solutions or no solutions 5x-3y=10 10x+6y=20

ANSWER

The system has one solution.

EXPLANATION

The given system is

1st: 5x-3y=10

2nd: 10x+6y=20

Make y the subject in the first equation to get:

Solve for y in the second equationquation to get;

The slope of the two equations are not the same.

The two lines will intersect at exactly one point.

.The system has one solution.

One solution

Step-by-step explanation:

We are given the following system of equations and we are to tell if the system has one solution, infinite solution, many solutions or no solutions:

--- (1)

--- (2)

If we take the common out from (2), we get:

--- (3)

So adding the two equations (1) and (3) gives 10x=20 ⇒ x=2.

Therefore, this system of equations has one solution.

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