Answer:
D. (2, 6)
Explanation:
Put y as x+4 in the first equation and solve for x.
x + 2(x + 4) = 14
x + 2x + 8 = 14
3x = 14 - 8
3x = 6
x = 2
Put x as 2 in the second equation and solve for y.
y = 2 + 4
y = 6
(2,6)
x+2y = 14
y = x+4
Substitute x+4 into the first equation for y
x+2(x+4) = 14
Distribute
x+2x+8 = 14
3x+8 = 14
Subtract 8 from each side
3x+8-8 = 14-8
Divide by 3
3x/3 = 6/3
Now solve for y
y =2+4
y =6
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