Question

How would I solve the system of equations using elimination?8x - 5y = 114x - 3y =5

Answer 1

Using elimination. In elimination process the two system of equations are multiplied by a apropiate factor , in order to eliminate one of the variables

then

multiplicate first equation by 4

and multiplicate second equation by 8

once obtained both results, then substract them

So then

4• (8x-5y) = 4•11= 44

8• (4x-3y) = 8•5= 40

32x -20y= 44

32x - 24y= 40

4y= 4 then y=1

now replace y=1 in any of both equations

8x -5= 11. Then x= (11+5)/8= 2

x=2