Let x = width and y = length
5x + 2y = 26
15x - 3y = 6
Multiply the first equation by -3:
-15x - 6y = -78
15x - 3y = 6
Add the equations: -9y = -72
So, y = 8 and x = 2
The length is 8 and the width is 2.
Kay B.
asked 10/29/19The sum of 5 times the width of a rectangle and twice its length is 26 units. The difference of 15 times the width and three times the length is 6 units. Write and solve a system of equations to find the length and width of the rectangle.
Let x = width and y = length
5x + 2y = 26
15x - 3y = 6
Multiply the first equation by -3:
-15x - 6y = -78
15x - 3y = 6
Add the equations: -9y = -72
So, y = 8 and x = 2
The length is 8 and the width is 2.
Sam Z. answered 10/29/19
Math/Science Tutor
5w+2L=26
15w-3L=6
=20w-L=32
if w=2; L=8
3 28
4 48.....................
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