Asked by Pixie
Elimination Method
L1: 3x+2y-34
L2: 5x-3y= -13
L1: 3x+2y-34
L2: 5x-3y= -13
Answers
Answered by
Bosnian
Multiply 3 x + 2 y = - 34 by 5
15 x + 10 y = - 170
Multiply 5 x -3 y = -13 by 3
15 x - 9 y = - 39
Subtract the equations:
15 x + 10 y = - 170
-
15 x - 9 y = - 39
________________
15 x - 15 x + 10 y - ( - 9 y ) = - 170 - ( - 39 )
10 y + 9 y = - 170 + 39
19 y = - 131
y = - 131 / 19
Put this value in equation 3 x + 2 y = - 34
3 x + 2 ∙ ( - 131 / 19 ) = - 34
3 x - 262 / 19 = - 34
Add 262 / 19 to both sides
3 x = - 34 + 262 / 19
3 x = - 646 / 19 + 262 / 19
3 x = - 384 / 19
3 x = - 3 ∙ 128 / 19
Divide both sides by 3
x = - 128 / 19
15 x + 10 y = - 170
Multiply 5 x -3 y = -13 by 3
15 x - 9 y = - 39
Subtract the equations:
15 x + 10 y = - 170
-
15 x - 9 y = - 39
________________
15 x - 15 x + 10 y - ( - 9 y ) = - 170 - ( - 39 )
10 y + 9 y = - 170 + 39
19 y = - 131
y = - 131 / 19
Put this value in equation 3 x + 2 y = - 34
3 x + 2 ∙ ( - 131 / 19 ) = - 34
3 x - 262 / 19 = - 34
Add 262 / 19 to both sides
3 x = - 34 + 262 / 19
3 x = - 646 / 19 + 262 / 19
3 x = - 384 / 19
3 x = - 3 ∙ 128 / 19
Divide both sides by 3
x = - 128 / 19
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.