# Y= 2x + 3 2y = 4x + 6 the system of equations has solution(s). a. no b. one c. infinite

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## Answers

The second equation (2y=4x+6) can be divided by 2 to get y=2x+3. Since this is the same equation as the first one, there are infinite solutions.

C. infinite

Step-by-step explanation:

We want to solve the system:

First equation: [tex]y=2x+3[/tex]

Second equation: [tex]2y=4x+6[/tex]

Multiply the first equation by 2.

This gives us:

Third equation: [tex]2y=4x+6[/tex]

Subtract the third equation to obtain;

[tex]2y-2y=4x-4x+6-6[/tex]

[tex]0=0[/tex]

This implies that, the solution is all real numbers.

This means that the two lines coincide with each other. Therefore there are infinitely many solutions.

Infinite solution

Step-by-step explanation:

There is 3 possible solutions to a system of linear equations:

One solution - two distinct lines that do not share y-intercept or slop intersect at a pointNo solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallelInfinite solution - one distinct function represented two ways which in simplest form share the same slope and y-interceptThe first equation is in simplest form y=2x+3.

The second equation 2y=4x+6 when simplified becomes y=2x+3.

These are the same lines with the same slope and y-intercept. Therefore, they have infinite solutions.

C. infinite

If we look at the 2nd equation

[tex]2y = 4x + 6[/tex]

Now we will isolate y and we obtain:

[tex]\frac{2y}{2} = \frac{4x + 6}{2} \\ \\ y = 2x + 3[/tex]

Since both equations are equivalent, then they must have an infinite amount of solutions.

Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too

p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions

Infinite solutions as both x and y are unknowns, you can simply plug in various factors for each

The answer would be infimnate

1603 is the correct one.

idk

step-by-step explanation: