Mathematics: Anew pencil weighs 25 grams. after the pencil has been used for a while, it weighs 2 decagrams. how many grams of the pencil have been used up?

Anew pencil weighs 25 grams. after the pencil has - id252519086, samanthasheets5918

issagirl05

25.03.2020

(1, -2)

Concept:

There are three general ways to solve the system of equations:

Elimination SubstitutionGraphing

Here, we are going to use the elimination method to solve.

Solve:

Given

$\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.$

Convert the first equation's arrangement to correlate with the second equation

$\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.$

Multiply 3 on both sides in the first equation

$\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.$

Eliminate [y] by adding the two equations

17x = 17

Divide both sides by 17

17x / 17=17/17

x=1

y=-5x+3=-5(1)+3=-5+3=-2

(1, -2)

Hope this helps!! :)

Please let me know if you have any questions

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