The area of the rectangle is 24 square inches. How much longer is its length than its width
1 answer:
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We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are
The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.
Similalrly,
Answer: (-6, 8) or x = -6, y = 8
-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are
The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.
Similalrly,
Answer: (-6, 8) or x = -6, y = 8