Solve: `-24-8x=12y` and `1+ (5/9)y=(-7/18)x` solving systems using elmination 24-8x=12y and 1+5/9y=-7/18x
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You need to move the terms of the first and second equations, terms that contain x and y, to the left side, such that:
`{(-8x - 12y = 24),(7/18 x + 5/9 y = -1):}`
You need to bring the terms to the second equation to a common denominator, such that:
`{(-8x - 12y = 24),(7x + 10y = -18):}`
You need to eliminate the variable x, hence, you need to multiply by 7 the first equation and you need to multiply by 8 the second equation, such that:
`{(-56x - 84y = 168),(56x + 80y = -144):}`
Adding the equations yields:
`-4y = 24 => y = -6`
Substituting -6 for y in equation 7x + 10y = -18 yields:
`7x - 60= -18 => 7x = 60 - 18 => 7x = 42 => x = 6`
Hence, evaluating the solution to the system of equations, using elimination, yields `x` `= 6` and `y = -6` .
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