若丨x+y-1丨和3(2+y-3)的四次方互为相反数,则x、y的值是

题目

若丨x+y-1丨和3(2+y-3)的四次方互为相反数,则x、y的值是

答案

∵丨x+y-1丨和3(2x+y-3)的四次方互为相反数,
∴丨x+y-1丨+3(2x+y-3)四次方=0
x+y-1=0
3(2x+y-3)=0
∴x=2
y=-1