Answer:
the solution is (-1, 2)
Step-by-step explanation:
Let's solve the system
(3x + 4y = 5)
(2x - 3y = -8)
using the method of elimination by addition and subtraction. Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:
9x + 12y = 15
8x - 12y = -32
-----------------------
17x = - 17, so x = -1.
Replacing x in the second equation by -1, we get:
2(-1) - 3y = -8, or
2 + 3y = 8,
or 3y = 6. Thus, y = 2, and the solution is (-1, 2).
Answer:
3.3 gallons
Step-by-step explanation:
(2 3/4)/x = (3 1/3)/4
(11/4)/x = (10/3)/4 (cross multiplication)
(11/4)*(4/1)=44/4=11
11/(10/3) = ( 11/1 ) * (3/10) = 33/10 = 3.3 gallons
