Answer: x=21, y=8
Explanation:
18y+5=10x-61 ==> 18y+5 and 10x-61 are congruent angle, so they're equal
x+10+10x-61=180 ==> x+10 and 10x-61 are supplementary angles since they're on a straight line(a straight line measures 180 degrees and is called a straight angle), so they add up to 180 degrees.
x+10x+10-61=180
11x-51=180
11x=231
x=21
18y+5=10(21)-61
18y+5=210-61
18y+5=149
18y=144
y=8