Noah wanted to check his solution of x = 14/5 for the equation 1/2 ( 7x - 6 ) = 6x - 10 substituting 14/5 for x , he writes the following:
1/2 ( 7 ( 14/5 ) - 6 ) = 6 ( 14/5 ) - 10
( 7 ( 14/5 ) - 6 ) = 12 ( 14/5 ) - 20
5 ( 7 ( 14/5 ) - 6 ) = 5 ( 12 ( 14/5 ) - 20 )
7 ⋅ 14 - 6 = 12 ⋅ 14 - 20
98 - 6 = 168 - 20
92 = 148
Find the incorrect step in Noah's work and explain why it is incorrect.

yor answer is 7/6 times 5

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