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Simora [160]
3 years ago
15

How many solutions does the system have?

Mathematics
2 answers:
RUDIKE [14]3 years ago
6 0

For this case we have the following system of equations:

21x + 6y = 42\\7x + 2y = 14

We multiply the second equation by -3:

-21x-6y = -42

Thus, we observe that the second equation is equivalent to the first, if we add both we get:

21x-21x + 6y-6y = 42-42\\0 = 0

The equality is fulfilled. The lines are on top of each other.

Answer:

Infinite solutions

Anettt [7]3 years ago
4 0

Answer:

<h2>System of equations: 3. Infinitely many solutions.</h2><h2>Graph: 2. No solutions.</h2>

Step-by-step explanation:

If you solve the equation system using a graph, then the solution is to intersect the line.

The graph has two parallel lines (no intersection). Therefore, this system of equations has no solutions.

Algebraic solution:

21x + 6x = 42    <em>divide both sides by (-3)</em>

-7x - 2x = -14

Add both equations by sides:

   7x + 2y = 14

<u>+ -7x - 2y = -14</u>

           0 = 0        TRUE

Therefore the system of equations has Infinitely many solutions.

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