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x = 1/3 y
154 - 4y = 10x
The equations of two lines are shown above. If the lines are graphed in the xy-plane, which of the following ordered pairs represents the point at which the lines would intersect?
A) (1, 3)
B) (3, 9)
C) (5, 15)
D) (7, 21)
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x = 1/3 y -------------- eqn(1)
154 - 4y = 10x ----------- eqn(2)
from eqn(1), y = 3x ---------- eqn(3)
substitute y = 3x into eqn(2)
154 - 4(3x) = 10x
154 - 12x = 10x
154 = 10x + 12x
154 = 22x
x = 154/22
x = 7
Substitute the value of x into eqn(3)
y = 3(7)
y = 21
(7, 21)
Answer: D
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