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Solving Equations by Elimination help?
how to find the point of intersection for
4x-9y=4
6x+15y= -13
But find lcm multiple for x not y first, b/c I can't do it properly if i start off with x.
whenever i do it i get:
(1) x 6 --> 24x-54y=24
(2) x 4 ---> 24x+60y=-52
............. -) ----------------------
............... -114y/-114=76/-114
.............................y=38/-57
that is not correct, it should simplify to -1/2 like it does when you do it for y.
* sorry, i meant to say, that is not correct, it should simplify to -1/2 like it does for x when you find lcm for y (54&60)
* sorry, i meant to say, that is not correct, it should simplify to -2/3, like it does for y the other way around
3 Answers
- ranjankarLv 79 years agoFavorite Answer
4x-9y=4.......................MULTIPLY BY 6
6x+15y= -13....................MULTIPLY BY 4
24x - 54y = 24
24x +60y =-52
SUBTRACT
- 114y = 76
y = - 76/114 = -38/57 = - 2/3
6x + 15*(-2/3) = -13
6x - 10= -13
6x = -3
x = -1/2
ANSWER x = -1/2 y = -2/3
- BeaLv 59 years ago
Your work is correct, but you didn't reduce y all the way.
y = 38 / -57 Now divide by 19
y = - 2/3
x = -1/2
x and y will usually not be the same value.
4x - 9(-2/3) = 4
4x + 18/3 = 4
4x = 4 - 18/3
4x = -6/3
4x = -2
x = -2/4 = -1/2
- Anonymous9 years ago
They have a closer one in common, 12.
4x - 9y = 4 (multiply by 3)
6x + 15y = -13 (multiply by -2)
12x - 27y = 12
-12x - 30y = 26
-57y = 38
y = (-38/57) =(-2/3)
(They are both divisible by 19, that is how they reduced to -2/3, you were correct)