a 2-yard By 3-yard plot of land has an area of 6 square yards. what is the area in square feet. hint convert the original measur
es to feet and calculate the area. will Mark brainiest show your answer and how you got it
2 answers:
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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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Answer:
A. Solutions are: x = 2, y = 1.
B. Solutions are: x = 3, y = 2.
C.
1. Inconsistent
2. Inconsistent
3. Consistent
Step-by-step explanation:
A. Solutions of each system of linear equations by substitution method:
Equation 1: 3x - 2y = 4
Equation 2: x = 2y
<u>Step 1:</u> Substitute x = 2y into the Equation 1:
3(2y) - 2y = 4
6y - 2y = 4
4y = 4
Step 2: Divide both sides of the equation by 4 to isolate y:
y = 1.
<u>Step 3:</u> For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:
x = 2y
x = 2(1)
x = 2
Therefore, the solutions are: x = 2, y = 1.
B. Find the solutions of each system of linear equations by elimination method:
Equation 1: 2x + y = 8
Equation 2: x + y = 5
<u>Step 1:</u> Multiply Equation 2 by 2:
2(x + y) = 5(2)
2x + 2y = 10
<u>Step 2:</u> Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:
2x + 2y = 10
- <u>2x + y = 8</u>
y = 2
Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:
2x + y = 8
2x + (2) = 8
<u>Step 4:</u> subtract both sides of the equation by 2 to isolate x:
2x + 2 - 2 = 8 - 2
2x = 6
<u>Step 5:</u> Divide both sides of the equation by 2 to solve for x:
x = 3.
The solutions are: x = 3, y = 2.
C:
1. Inconsistent
2. Inconsistent
3. Consistent (infinitely many solutions)