The equations modeling the word problem and the numbers that

Efan Halliday

Efan Halliday

Answered question

2021-08-17

The equations modeling the word problem and the numbers that satisfy the equations.
Subtraction of the second number from two times the first number gives 3. Addition of three times the first number with twice the second number gives 8.

Answer & Explanation

pattererX

pattererX

Skilled2021-08-18Added 95 answers

Step 1
Let the first number be x and the second number by y.
Addition of three times the first number with twice the second number gives 8.
Thus, 1) 3x+2y=8
Subtraction of the second number from two times the first number gives 3.
Thus,
2) 2xy=3
Multiply equation (2) by 2
3) 4x2y=6
Step 2
Add equations (1) and (3)
3x+2y+4x2y=8+6
7x=14
x=2
Put the value of x in the equation (1)
6+2y=8
2y=2
y=1
The systems of the equation are 3x+2y=8 and 2xy=3.
The solution of the equations is (x,y)=(2,1).

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