I think the first is 107 and the second is 2. i’m not sure about the last two blanks but if they’re asking if it’s equivalent or not i think it is
I believe that it is -3e/2 = -24
if so, you reduce the expression, by cancelling the common factors .
Consistent means 1 solution
inconsistent means no solutions....because they are parallel lines
equivalent means infinite solutions...because they are the same line
y = 3x - 2 3x - y = 4
-y = -3x + 4
y = 3x - 4
both equations have the same slope but different y intercepts....this means they are parallel lines and have no solutions ....INCONSISTENT
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1/2y = -x + 5 2y = -4x + 20
y = -2x + 10 y = -2x + 10
same equation.....same line...infinite solutions...EQUIVALENT
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y = -x + 4 x = -y - 6
y = -x - 6
same slope, different y intercepts....parallel lines......no solutions...this means INCONSISTENT
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y = 4x + 2 y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT
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y = 2x + 1 y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT
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-2x + 5y = 0 y = 2/5x
5y = 2x
y = 2/5x
same line....infinite solutions....EQUIVALENT
The greatest common factor (GCF) of 15 and 30 is: 15
Factors of 15: 1, 3, 5, 15
Factors of 30: 1, 2, 3, 5, 6, 10, 15
The common factors between the two numbers are 1, 3, 5, and 15, but considering 15 is the highest number out of them all, it is the greatest common factor.
The given point is (-4, -6)
First reflected point is (-4, 6).
Note that the x coordinate is same and y coordinate has opposite sign. Above x-axis, y is positive and below x-axis y is negative. This shows that the reflection was across x-axis which resulted in the change of sign of y coordinate.
Second reflected point is (-6, -4)
Notice that in comparison to the original point, the location of x and y coordinate has been interchanged. This can only happen when the reflection is across the line y = x. The reflection of a graph across y = x also results in the inverse of that graph, with x values and y values interchanging their positions.
So,
1st Answer: Reflection across x-axis
2nd Answer: Reflection across the line y = x
