Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 given ⇒ 2(x − 4) + 6x = 9x − 10
step 1 ⇒ 2x − 8 + 6x = 9x − 10
step 2 ⇒ 2x + 6x − 8 = 9x − 10
step 3 ⇒ 8x − 8 = 9x − 10
step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10
step 5 ⇒ 0 − 8 = x − 10
step 6 ⇒ −8 = x − 10
step 7 ⇒ −8 + 10 = x − 10 + 10
step 8 ⇒ 2 = x + 0
step 9 ⇒ 2 = x
which step in solving this equation is justified by the distributive property?
a) step 1 ⇒ 2x − 8 + 6x = 9x − 10
b) step 2 ⇒ 2x + 6x − 8 = 9x − 10
c) step 3 ⇒ 8x − 8 = 9x − 10
d) step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10

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Step-by-step explanation:

The distributive prpperty is justified in step 1 where the parenthesis is removed when the number 2 is multiplied by the variable x to get 2x and in the same way by -4 to get -8

(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: i wpould go with c

step-by-step explanation: