Which is a simplified form of the expression -3p – 4 + 4p + 8?
1 answer:
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Make denomenators the same
common denom is 2n²
multiply 3/2n by n/n
mulitply 1/n² by 2/2
we get
combine fractions
multiply both sides by 2n²
2n+2=n-2
minus n both sides
n+2=-2
minus 2 both sides
n=-4
common denom is 2n²
multiply 3/2n by n/n
mulitply 1/n² by 2/2
we get
combine fractions
multiply both sides by 2n²
2n+2=n-2
minus n both sides
n+2=-2
minus 2 both sides
n=-4
Answer:
Infinite solutions
Step-by-step explanation:
To determine the number of solutions a system has, you need its slope. If the slopes are the same, check if the equations are equivalent or not.
To find the slope, rearrange the equation to isolate "y", which makes it slope-intercept form y = mx + b.
"x" and "y" represent points on the line.
"m" represents the slope, which is how steep a line is.
"b" represents the y-intercept (where the graph hits the y-axis).
Isolate "y" in both equations:
x + 3y = 0
3y = -x Subtract 'x' from both sides
y = -x/3 Divide both sides by 3.
y =
The slope is -1/3.
9y = -3x
y = -3x/9 Divide both sides by 9
y = Reduce the fraction to lowest terms
y =
The slope is -1/3, but the two equations are the same.
Since the equations are the same, or <u>equivalent</u>, the two lines are always touching. The solution of a system means where two lines intersect, or meet. Therefore, <u>there are infinite solutions</u>.