What is the value of x in this system of equations? Express the answer as a decimal rounded to the nearest tenth. Negative 5 x minus 12 y = negative 8. 5 x + 2 y = 48. on a time limit!!!!

Mathematics · High School · Tue Nov 03 2020

Answered on

Given: 

-5x  -12y = -8       

or, 5x + 12y = 8   …..1

5x + 2y = 48        …..2

By elimination method:

Subtracting equation 1 from 2, we get

5x + 2y - (5x + 12 y ) = 48 -8

5x + 2y - 5x - 12y = 48-8

-10y = 40

y = 40/-10

y = -4

Now, putting value of y in equation 1, we get

5x + 12(-4) = 8

5x - 48 = 8

5x = 8 + 48

5x = 56

x = 56/5

x = 11.2 

 

Thus, value of x is 11.2