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