A certain high school class consists of juniors and seniors. There are
23 students in the class, and the number of seniors is 7 less than twice the
number of juniors. How many seniors are in the class?

10 SENIORS

Step-by-step explanation:

x=# of seniors

y=# of juniors

x+y=23, x=2y-7

plug the value of x in the second equation into the first(2y-7)+y=23Remove parentheses2y-7+y=23Combine like terms3y-7=23Add 7 to BOTH sides3y=30divide BOTH sides by 33y/3=30/3y=10There are 10 juniors in the classFINAL STEPSPlug y (which is 10) into the first equationx+y=23x+10=23subtract 10 from BOTH sidesx=13Since X equals the number of seniors, there are 10 seniors in the class