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solve using elimination-10x - 10y = 10 -2x - 5y = -19(_ , _)

Sagot :

The given system of equations is expressed as

-10x - 10y = 10

-2x - 5y = -19

The first step is to make the coefficients of one of the variables in each equation equal. To make the coefficient of x equal, we would multiply the first equation by 2 and the second equation by 10. It becomes

- 20x - 20y = 20 equation 3

- 20x - 50y = - 190 equation 4

We would eliminate x by subtracting equation 4 from equation 3. It becomes

- 20x - - 20x - 20y - - 50y = 20 - - 190

- 20x + 20x - 20y + 50y = 210

30y = 210

y = 210/30

y = 7

Substituting y = 7 into the second equation, it becomes

- 2x - 5 * 7 = - 19

- 2x - 35 = - 19

- 2x = - 19 + 35 = 16

x = 16/- 2

x = - 8

The solution is

(- 8, - 7)



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