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annabanana1298
08.07.2019 •
Mathematics
Use the linear combination method to solve the system of equations. explain each step of your solution. 2x-3y=13 x+2y=-4
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Ответ:
hey
given :
2x - 3y = 13 ( 1 )
x + 2y = -4 ( 2 )
now multiply the second equation with 2
2x - 3y = 13 ( 1 )
2 ( x + 2y ) = 2 ( -4 ) ( 2 )
2x - 3y = 13 ( 1 )
2x + 4y = - 8 ( 2 )
now subtract the the second equation from the first
2x - 3y = 13 ( 1 )
- ( 2x + 4y ) = -( - 8 ) ( 2 )
2x - 3y = 13 ( 1 )
-2x - 4y = 8 ( 2 )
combine them
-7y = 21
y = -3
now substitute this to get the x value.
x + 2y = -4
x -6 = -4
x = 2
hope my answer !
Ответ: