Number the steps for balancing equations:
1 answer:
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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>.
11 bottles are needed to fill a 16 liter jug
<em><u>Solution:</u></em>
Given that, there is a 16 liter jug
There are liters of bottle
<em><u>Let us first convert the mixed fraction to improper fraction</u></em>
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Thus the bottle is of 1.5 liter
We have to find the number of 1.5 liter bottles needed to fill 16 liter jug
Divide 16 by 1.5 to get result
Thus 11 bottles are needed to fill a 16 liter jug