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apodoltsev2021
26.06.2019 •
Mathematics
Solve the system of equations. (3x + 4y = 5) (2x - 3y = -8) a)y = -x = 2 b)x = -1, y = 2 c)x = -4, y = 0 d)x = 3, y = -1
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Ответ:
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).
Ответ:
C
=> C