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dezoksy [38]
3 years ago
10

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

Mathematics
1 answer:
klio [65]3 years ago
8 0

y =  - 2x + 53x - 4y = 2 \\  y  = 51x - 4y = 2 \\  > y = 51 x - 4y \\  > 51x - 4y = 2
y = 51x - 4y \\ 5y = 51x \\ y =  \frac{51}{5} x
Substitute 51/5x into
51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times  \frac{10}{102}  \\ x =  \frac{10}{51}  \: aka \: 0.196
Substitute that into
y =  \frac{51}{5}  \times  \frac{10}{51}  \\ y = 2
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.
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