Find the solution of this system of equations. Separate the x- and y-values with a comma. x = -11 + y and 10x - 5y = -10

Respuesta :

substitute x = -11 + y in 10x - 5y = -10
10(-11+y)-5y=10    distribute 10 with -11 and y
10(-11) + 10(y) - 5y=10     =>>  -110 +10y -5y  =10
combine like terms   -110 +5y=10
add 110 to both sides to get the variable on one side    5y = 10+110  (120)
5y=120  divide both sides by 5 to get variable by itself  120/5=24
so y = 24
now replace the y with 24 to find x
x=-11+24   24 - 11 = 13  
x=13
therefore, y=24 and x=13
hope this helps :)