The summer olympics occurs every 4 years. every 6 years a us senator runs for reelection. if both events occurred last year how many years will pass before the us senate seat is up reelection the same year as the summer olympics

The correct answer is 11 years

Step-by-step explanation:

Summer Olympics every 4 years

US Senator runs for reelection every 6 years

Both events occurred last year

Next Summers Olympics in 3 years, 7 years, 11 years, 15 years, 19 years, 23 years.

Next US Senator reelection in 5 years, 11 years, 17 years, 23 years.

The next time US Summer Olympics and the US Senate will take place the same year, will be exactly in 11 years.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.