5. a) the annual bonus given to the employees of a company is 5% of their taxable incomes, after the state and central taxes are deducted. the state tax is 10% of taxable income. the central tax is 20% of taxable income after deducting the state tax. formulate this situation for determining the bonus, as a linear system. state neg the bonus, as a linear systen apply the gaussian elimination process to determine values of following linear system is consistent b) for which the x-3y +4-0, 3x-2y , y 6-2x c solve by substitution, the system you have obtained in 5(a).

(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

answer: .75 km

step-by-step explanation:

correct answers below: