Where the lines 4x + 3y =19 and 3x - 4y =8 intercept?
1 answer:
Answer:
(4, 1)
Step-by-step explanation:
The lines intersect at the point (4, 1). A graphing calculator shows this easily.
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Multiplying the first equation by 4 and adding 3 times the second equation gives ...
4(4x +3y) +3(3x -4y) = 4(19) +3(8)
25x = 100 . . . . eliminate parentheses, collect terms
x = 4 . . . . . . . . .divide by 25
Substitute this into the first equation to get ...
4·4 +3y = 19
3y = 3 . . . . . . subtract 16
y = 1 . . . . . . . . divide by 3
The point of intersection is (x, y) = (4, 1).
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