Noah solved an equation as shown below and found that the equation has infinitely many solutions.–3(x+4)+2x=2(x – 6)– 3x–3x– 12+2x= 2x– 12– 3x–x – 12= –x – 12which explains whether noah is correct? a. noah is correct because the two sides of the equation are equivalent expressions. b. noah is correct because if he continues the solution, the final solution will be x = –2c) noah is not correct because the equivalent expressions mean that there is no solution. d. noah is not correct because he used the distributive property incorrectly.

–3(x+4) +2x = 2(x – 6) – 3x

–3x– 12 +2x = 2x– 12– 3x

–x – 12= –x – 12

0 = 0

a. Noah is correct because the two sides of the equation are equivalent expressions.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

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