Cost of one hosta is $11 and one pot of ivy is $4.
Step-by-step explanation:
Let,
Cost of one hosta = x
Cost of one pot of ivy = y
According to given statement;
3x+5y=53 Eqn 1
x+7y=39 Eqn 2
Multiplying Eqn 2 by 3
![3(x+7y=39)\\3x+21y=117\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=3%28x%2B7y%3D39%29%5C%5C3x%2B21y%3D117%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 1 from Eqn 3
![(3x+21y)-(3x+5y)=117-53\\3x+21y-3x-5y=64\\16y=64](https://tex.z-dn.net/?f=%283x%2B21y%29-%283x%2B5y%29%3D117-53%5C%5C3x%2B21y-3x-5y%3D64%5C%5C16y%3D64)
Dividing both sides by 16
![\frac{16y}{16}=\frac{64}{16}\\y=4](https://tex.z-dn.net/?f=%5Cfrac%7B16y%7D%7B16%7D%3D%5Cfrac%7B64%7D%7B16%7D%5C%5Cy%3D4)
Putting y=4 in Eqn 2
![x+7(4)=39\\x+28=39\\x=39-28\\x=11](https://tex.z-dn.net/?f=x%2B7%284%29%3D39%5C%5Cx%2B28%3D39%5C%5Cx%3D39-28%5C%5Cx%3D11)
Cost of one hosta is $11 and one pot of ivy is $4.
Keywords: linear equation, elimination method
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Answer:
x = 5
Step-by-step explanation:
Angles in a triangle add up to equal 180
Hence, 10x - 1 + 78 + 53 = 180
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
10x - 1 + 78 + 53 = 180
Combine like terms
10x + 130 = 180
Subtract 130 from both sides
10x = 50
Divide both sides by 10
x = 5
Answer:
Does it have a graph of any numbers in your question?
Step-by-step explanation:
Answer:
done, produced, or occurring every day or every weekday.
Step-by-step explanation: