You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes. a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations: b. how long does it take you to jog around the park? it takes you minutes to jog around the park.

Answer:Part a) The system of equations is[tex]2x+y=10[/tex][tex]2x+3y=22[/tex] Part b) The number of minutes it takes you to jog around the park is [tex]6\ min[/tex]Step-by-step explanation:Part a)  Write a system of linear equations Letx-----> the number of minutes it takes you to jog around your block y---> the number of minutes it takes you to jog around the parkwe know that[tex]2x+y=10[/tex] ----> equation A[tex]2x+3y=22[/tex] ----> equation BPart b) How long does it take you to jog around the park?Multiply equation A by -1 both sides[tex]-1(*2x+y)=-10[/tex] ------> [tex]-2x-y=-10[/tex] ----> equation CAdds equation B and equation C[tex]2x+3y=22\\-2x-y=-10\\-------\\ 3y-y=22-10\\2y=12\\y=6\ minutes[/tex]Find the value of x[tex]2x+(6)=10[/tex] [tex]2x=10-6[/tex] [tex]x=4/2=2\ minutes[/tex]