Simplify: 1.) 6(4a2+11)-13(3a-2a2)-28

2.) -10+3r+2r2-r

3.) 24-4(5y-6z)+3y-7z

4.) 2.4+8.4q-0.3q-7.9

5.) 5(x-12x2)+3(4x+7x2)

1.)50a2−39a+38

2.)2r2+2r−10

3.)−17y+17z+24

4.)8.1q−5.5

5.)−39x2+17x

Step-by-step explanation:

(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