Graph the system of equations. {4x+4y=16x+6y=−6 use the line tool to graph the lines.

Step-by-step explanation:

The two equations given to us are

4x+4y=16

x+6y=−6

Lets draw the two lines one by one  ,

We can use the intercepts to draw a straight line ,

For 4x+4y = 16

Plug x=0 :  

4(0)+4y=16

y=4

so (0,4)

plug y=0

4x+4(0)=16

x=4

so point is (4,0)

x-int= (4,0)

y-int= (0,4)

Similarly for the second line x+6y=-6

plug x=0

0+6y=-6

y=-1

plug y=0

x+6(0)=-6

x=-6

so two points are (0,-1) and (-6,0)

Check the attached image for the graph.

find out the value of b

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18