Brian is twice as old as Charlie. Three years from now, the sum of their ages will be 33.How old are Brian and Charlie today?

Brian is 18 yr old and Charlie is 9 yr old

Step-by-step explanation:

Let age of Brian be B and that of Charlie be C,

Now,B=2×C and also three years after their ages are B+3 and C+3 respectively

(B+3)+(C+3)=33

Put B=2C

2C+3+C+3=33

3C=27

C=9

Now B=2×9=18

Brian is 18 yr old and Charlie is 9 yr old

step-by-step explanation:

107 units

(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