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dsp73
3 years ago
7

X + y = 4 3x + 4y= 14

Mathematics
2 answers:
Vaselesa [24]3 years ago
7 0
Y = 4 - x
3x + 4(4-x) = 14
3x + 16 -4x = 14
-x = -2
x = 2
y = 2
kupik [55]3 years ago
5 0

Answer:

x = 2

y = 2

Step-by-step explanation:

x + y = 4  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \: ...1\\ 3x + 4y= 14  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ...2\\  \\

from equation 1 we get

x = 4 - y

put x = 4 - y in equation 2

3(4 - y) + 4y= 14 \\ 12 - 3y + 4y = 14 \\ y = 14 - 12 \\ y = 2

again, put y = 2 in equation 1

x + 2 = 4 \\ x = 4 - 2 \\ x = 2

thus, x = 2 and y = 2

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