Solve the equation.
-3(3n + 4) = 6

n=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(3n+4)=6

Step 1: Simplify both sides of the equation.

−3(3n+4)=6

(−3)(3n)+(−3)(4)=6(Distribute)

−9n+−12=6

−9n−12=6

Step 2: Add 12 to both sides.

−9n−12+12=6+12

−9n=18

Step 3: Divide both sides by -9.

−9n

−9

=

18

−9

n=−2

n = -2

Step-by-step explanation:

-3(3n + 4) = 6; multiply -3 to both 3n and 4.

-9n - 12 = 6; add 12 on both sides.

-9n = 18; divide -9 on both sides to isolate the variable n.

n = -2

(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

536

step-by-step explanation: