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stich3 [128]
3 years ago
9

X-5y=33 5x-6y=70 solve the system by the addition method

Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

For this case we have the following system of equations:

x-5y = 33\\5x-6y = 70

We multiply the first equation by -5:

-5x + 25y = -165

Thus, we have the equivalent system:

-5x + 25y = -165\\5x-6y = 70

We add the equations:

-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5

We find the value of the variable "x":

x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8

Thus, the solution of the system is:

(x, y) :( 8, -5)

Answer:

(x, y) :( 8, -5)

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