the doubled sum of x and y is 412 while the value of y subtracted from the doubled value of x you get 115

Question

what are the values of x and y?

Answer 1

eqt.1 2x+2y=412

eqt.2 2x-y= 115

solve eqt. 2 for y

y=2x-115

plug Y into eqt. 1 to find the value for x

2x+2(2x-115)=412

2x+4x-230=412

6x=412+230=642

6x=642/4

x=107

use the eqt. for y

y=2x-115

y=2(107)-115

y=99