The relationship between two numbers is described below, where x represents the first number and y represents the second number. The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to the first number multiplied by 7. Select the equations that form the system that models this situation. Then, select the solution(s) of the system.
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contraction of the protoplast of a plant cell as a result of loss of water from the cell.
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x
2
=y+16
4y-1=7x4y−1=7x
Step-by-step explanation:
The condition says:
The square of first number is equal to the sum of the second number and 16:
Lets say that the first number is 'x' and the second number is 'y'. So the square of 'x' is x^2x
2
and that is equal to the sum of second number i.e y and 16:
x^2=y+16x
2
=y+16
Second condition says that:
The difference of 4 times the second number and 1 is equal to the first number multiplied by 7:
4 times the second number is 4y4y and difference of 1 is:
4y-14y−1
and this is equal to 7 times the first number: 7\times x7×x
4y-1=7x4y−1=7x
So the two equations are:
x^2=y+16x
2
=y+16
4y-1=7x4y−1=7x
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