Debbie finished her algebra test early so she decided to check each of her answers. after checking her answer to question #10, she realized she made a mistake in her solution. in which step does debbie make her mistake?
original equation: 2 + 3y = 5(y - 2)
step one: 2 + 3y = 5y - 10
step two: 2 = 2y - 10
step three: -8 = 2y
step four: -4 = y → y = -4

the first mistake was in step 2

Step-by-step explanation: she should not have moved the y to the other side first, she should have moved the other numbers to get one of the y's alone

(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

step-by-step explanation:

sry but any answer choices