Solve the system of equations 9x-6y=-12 and 8x-5y=-8 by combining the equations
1 answer:
Answer:
(x, y) = (4, 8)
Step-by-step explanation:
We can multiply the first equation by -8 and the second by +9, then add the result.
-8(9x -6y) +9(8x -5y) = -8(-12) +9(-8)
-72x +48y +72x -45y = 96 -72
3y = 24
y = 8
Substituting for y in the first equation, we have ...
9x -6(8) = -12
9x = 36 . . . . . . add 48
x = 4
The solution is (x, y) = (4, 8).
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Tony walks 116.7 m diagonally across the lot.
Solution:
Length of the rectangle = 80 m
Width of the rectangle = 85 m
<u>To find the diagonal of the rectangle:</u>
Diagonal of the rectangle =
Diagonal of the rectangle = 116.7 m
Hence Tony walks 116.7 m diagonally across the lot.