A first number plus twice a second number is 12. Twice the first number plus the second totals 33. Find the numbers.
1 answer:
Answer:
The numbers are -3 and 18 .
Step-by-step explanation:
Let us assume that first number be x.
Let us assume that the second number be y.
As given
A first number plus twice a second number is 12 .
Than the equation becomes
x + 2y = 12
As given
Twice the first number plus the second totals 33.
2x + y = 33
Than the two equations are
x + 2y = 12
2x + y = 33
Multiply x + 2y = 12 by 2 and subtracted from 2x + y = 33
2x - 2x + y - 4y = 33 - 24
-3y = 9
y = - 3
Put in the equation x + 2y = 12
x + 2 ×-3 = 12
x - 6 = 12
x = 12 + 6
x = 18
Therefore the numbers are -3 and 18 .
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Answer:
The equation which gives the total cost y of x pounds of dried cherries is
Step-by-step explanation:
Given:
Cost of 3 pounds of dried cherries = $15.90
Cost of 5 pounds of dried cherries = $26.50
Cost of 9 pounds of dried cherries = $47.70
Let Number of of pounds of dried cherries be 'x'
Let Total Cost be denoted by 'y'
We need to find the equation for total cost y for x pounds of dried cherries.
First we will find the cost of each pound of dried cherries.
Now we know that;
3 pounds of dried cherries = $15.90
1 pound of dried cherries = Cost of 1 pounds of dried cherries
Hence By using Unitary method we get;
Cost of 1 pounds of dried cherries =
Total Cost of dried cherries is equal to Number of of pounds of dried cherries multiplied by Cost of 1 pounds of dried cherries.
framing in equation form we get;
Hence The equation which gives the total cost y of x pounds of dried cherries is