What is the absolute value of 7.1
1 answer:
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Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
second equation:
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
70 flowers were planted in all.
Step-by-step explanation:
Let,
Tulips = t
Daises = d
Lilies = l
Total tulips planted = 42
She planted 2 times as many tulips as daises.
t=2d
Putting t=42
Dividing both sides by 2
And 3 times as many daisies as lilies.
d=3l
Putting d=21
Dividing both sides by 3
Total flowers planted = Tulips + Daisies + Lilies
Total flowers planted = 42 + 21 + 7 = 70
70 flowers were planted in all.
Keywords: division, addition
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