Which value of x makes the equation 3(x-6) = 8x-3(3x+7) true?

Step-by-step explanation:

3x - 18  = 8x - 9x - 21

3x - 18 = -x - 21

4x - 18 = -21

4x = -3

x = -3/4

answer is A

OPTION 3. x=-3/4

Step-by-step explanation:

This question is basically asking for to solve the equation.

Given

3(x-6)=8x-3(3x+7)

Distributive property on both sides

3x-18=8x-9x-21

Combine like terms on the right side

3x-18=-x-21

Add x on both sides

4x-18=-21

Add 18 on both sides

4x=-3

Divide 4 on both sides

x=-3/4

to rewrite a literal equation you may need to divide by a number, or by a variable.

hope i .

(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