Question

How do you solve this using the elimination method of systems of equations?

Answer 1

5x - y= 6 ×5 ------- equation 1

5x+ 2y=3 ×5-------- equation 2

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25x - 5y= 30

- 25x + 10y=15

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-5y-(+10y)=30-15

-5y-10y =15

-15y= 15

divide both sides by -15

y= -1

finding the value of x by subs. y=-1

into equation 1

5x-(-1)=6

5x +1=6

5x=6-1

5x=5

divide both sides by 5

x= 1

Answer 2

Easiest approach: Mult. the first eqn by 2; this results in 10x - 2y = 12. To this new equation, add the second equation:

10x - 2y = 12
5x + 2y = 3
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15x = 15, so x = 1. Subst. 1 for x in either of the given equations, and then find y from the resulting equation.

Write your solution in the form (1, ? ).