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S_A_V [24]
3 years ago
12

Which equation has infinitely many solutions? A) 4x + 3 3 = 4x + 5 B) 10x + 8 2 = 5x + 4 C) 8x − 5 3 = 2x − 2 D) 8x − 5 2 = 4x −

6
Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer: If the left side and the right side of the equation are equal, the equations has  infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give  you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System  of equations has Infinitely many solutions.

If you  have the following system:

\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.

You can simplify the second one:

y=2x+1

Then, both equations are the same line.

By definition you can also write the systemf making both equations equal to each other:

2x+1=2x+1

So, if the left side and the right side are equal, the equations has  infinitely many solutions.

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