Question 1
a system of equations is shown below:
n = 3m + 6
n − 2m = 2
what is the solution, in the form (m, n), to the system of equations?
(−4, −6)
(−5, −9)
(2, 6)
(1, 8)
question 2
the incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:
step1: 2(y + 6) = 4y
step 2: 2y + 8 = 4y
step 3: 2y = 8
step 4: y = 4
which of the following explains how to correct step 2 and shows the correct value of y?
2 should be distributed as 2y + 12; y = 6
2 should be distributed as 2y + 12; y = 3
the equation should be y + 6 = 4y after division by 2; y = 2
the equation should be y + 6 = 4y after division by 2; y = 1
question 3
the equation 3.3x − 6.6 = 2.7x can be transformed to form which of the following expressions?
6.0x = 6.6
0.6x = 6.6
6.0x = −6.6
0.6x = −6.6

Part 1: The solution is (-4,-6)

Part 2: 2 should be distributed as 2y + 12; y = 6

Part 3:        

Step-by-step explanation:

Part 1: Given the system of equations

   →      (1)

    →     (2)

Solving above two equations

Subtract 2 from 1, we get

(1) ⇒

The solution is (-4,-6)

Option 1 is correct.

Part 2: The incorrect work of a student to solve an equation 2(y + 6) = 4y

we have to choose the correct step to solve value of y

Equation: 2(y + 6) = 4y

By distributive property

2y+12=4y

2y=12  ⇒   y=6

Hence, 2 should be distributed as 2y + 12; y = 6

∴ Option 1 is correct.

Part 3: Given the equation 3.3x − 6.6 = 2.7x

we have to solve

3.3x − 6.6 = 2.7x

Subtracting 2.7x both sides

Option 2 is correct.

the two may have that, even a breakdown is probably offered

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: