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Bingel [31]
3 years ago
10

Solve the system of equations and choose the correct ordered pair 4x-2y=-2 6x+3y=27

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0
Start with the given
4x - 2y =  - 2 \\ 6x + 3y = 27
let's focus on the top equation first, we want to get either x or y alone. y would be easier here so let's do that.
4x - 2y =  - 2 \\ 2x - y =  - 1 \\  - y =  - 2x - 1 \\ y = 2x + 1
here we simply divided everything by 2, then solved for y.

now we're going to plug this y into the second equation so that we only have an x!
y =  2x + 1 \\ 6x + 3y = 27 \\ 6x + 3(2x + 1) = 27 \\ 6x + 6x + 3 = 27 \\ 12x = 24 \\ x = 2
now that we know what x is, we can plug it back into the first equation!! and we'll get our final answers
x = 2 \\ y = 2x + 1 \\ y = 2(2) + 1 \\ y  = 5
so our answer will be with the ordered pair (2,5)
x = 2 \\ y = 5 \\ (2 \: \:  \:  5)
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