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Mathematics 17 Online
OpenStudy (anonymous):

use the elimination method to solve the following system of equations.

OpenStudy (anonymous):

5x – 9y = –16 2x + 6y = –16

OpenStudy (ajprincess):

5x – 9y = –16-(1) 2x + 6y = –16-(2) Multiply (1) by 2 and u will get (1)*2=>10x-18y=-32-(3) Multiply (2) by 3 and u will get (2)*3=>6x+18y=-48-(4) Nw can u tell me vat u get when u add (3) and (4) @evergirl?

OpenStudy (anonymous):

thank u!

OpenStudy (ajprincess):

yw:) Can u continue after that?

OpenStudy (anonymous):

I'll try

OpenStudy (ajprincess):

ha k:)

OpenStudy (anonymous):

x—2 equations combined: 5x - 9y = 2x + 6y 3x = 15y x = 5y y—1st equation: 5(5y) - 9y = - 16 25y - 9y = - 16 16y = - 16 y = - 1 x—2 equations combined: = 5(- 1) = - 5 Answer: x = - 5, y = - 1

OpenStudy (ajprincess):

Ur answer is perfect:) The method u hav used is substitution method bt they want u to do it in elimination method

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

how about this.........First, multiply the second equation by 2.5: 5x + 15y = -40 Now, subtract equation 2 from equation 1: 5x - 9y = -16 - 5x + 15y = -40 -24y = 24 Dividing by -24: y = -1 Now we can just plug this into either of the equations and solve for x: 5x - 9(-1) = -16 5x = -16 - 9 5x = -25 x = -5 x = -5 y = -1

OpenStudy (ajprincess):

When u subtract equation 2 from equation 1 u get 5x - 9y = -16 - 5x + 15y = -40 10x-24y=24

OpenStudy (anonymous):

thanks

OpenStudy (ajprincess):

u can eliminate x terms by adding eqn1 and eqn 2

OpenStudy (ajprincess):

5x - 9y = -16-(1) - 5x + 15y = -40-(2)

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