Determine which system below will produce infinitely many solutions. 1) −4x + 6y = 20 4x − 3y = −2 2) −2x + 4y = 18 4x − 8y = −36 3) 3x − 2y = 5 −6x − 4y = −10 4) 5x − 3y = 12 15x − 9y = 24

The right answer is 2)

Recall that, in systems of linear equations, when the number of equations is the same as the number of variables there is likely to be a solution. This is not guaranteed, but for sure it is possible to find a solution.

So the case of Infinitely many solutions claims for the same lines. These systems are called consistent. Thus, if we isolate the variable of each equation we have:

As you can see these equations are the same, therefore they represent the same line as indicated in the Figure below.

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

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step-by-step explanation: