To calculate: The equations modeling the word problem that states

djeljenike

djeljenike

Answered question

2021-08-20

To calculate: The equations modeling the word problem that states that subtraction of the second number from three times the first number gives 1 and addition of the first number with twice the second number gives 12 and the solution to the system of equations.

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-08-21Added 91 answers

Calculation:
Let the first number be x and the second number be y.
Subtraction of the second number from three times the first number gives 1. This gives the equation as:
3xy=1
Addition of the first number and twice the second number gives 12. This gives the equation as:
x+2y=12
Multiply equation 3xy=1 by 2
6x2y=2
Add equations x+2y=12 and 6x2y=2 to obtain:
x+2y+6x2y=12+2
7x=14
x=2
Substitute the value of x in equation 3xy=1 to obtain:
6y=1
y=5
Thus, the systems of equation are 3xy=1 and x+2y=12. Solution of the equations is (x,y)=(2,5).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?