another math question? regarding the addition method of 0.06x+0.08y=0.07?

Question

solve the system of equations by the addition method

0.06x+0.08y=0.07
-0.1x+0.9y=-2.7



ok so then after i fix them up to non decimals i get..



6x+8y=7
-1x+9y=-27

but not im stuck... what do i multipy by?

Answer 1

Multiply second equation by 6 and add the top equation to it.
-1x+9y=-27 (mult by 6)
-6x+54y = -162
6x+8y=7 (from equation 1)
62y = -155
y = -2.5
then x = 4.5

Answer 2

multiply the bottom by 6, then the equation will read -6x+54y=-162 then add that with the eqation 6x+8y=7, solve by elimination, 62y=-145, y=-155/62, plug y back in and slove for x. Not a pretty problem, unless I've made a dumb algerbra mistake for not having a claculator and being completly brain dead at 10pm.

Answer 3

Multiply the bottom equation by 6 and add this whole equation to the top equation: 6x+8y=7
-6x+54y=-162


adding gives us: 62y=155 so y=155/62
Just substitute this to get the x-solution.

Answer 4

multiply the bottom equation by 6 and you get
6x+8y=7
-6x+54y=-162
then add the two and get
62y=155
then solve for y

Answer 5

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Answer 6

Multiply the 2nd eq by 6. Then add it to the first eq and you'll have an eq in y only.

Answer 7

0.06x+0.08y=0.07
-0.1x+0.9y=-2.7

[0.06 0.08][x]=[0.07]
[-0.1 0.9][y] [-2.7]


Inv[[0.06 0.08]X[0.07]
[-0.1 0.9] [-2.7]

X=4.5
Y=-2.5