Solving 2 Step Equations

1) 9x − 7 = −7

X = 0

X = 1

X = 49

X =-63

The equation states that 9 times x minus 7 is equal to -7. To solve for x, we need to isolate it on one side of the equation. Adding 7 to both sides, we get 9x = 0. Finally, dividing both sides by 9, we find that x is equal to 0.

Explanation

The equation states that 9 times x minus 7 is equal to -7. To solve for x, we need to isolate it on one side of the equation. Adding 7 to both sides, we get 9x = 0. Finally, dividing both sides by 9, we find that x is equal to 0.

2) −10 = −10 + 7m

M = 1

M = 0

M = -70

M = -1

The equation given is −10 = −10 + 7m. To solve for m, we need to isolate the variable. By subtracting -10 from both sides of the equation, we get 0 = 7m. Dividing both sides by 7, we find that m = 0.

Explanation

The equation given is −10 = −10 + 7m. To solve for m, we need to isolate the variable. By subtracting -10 from both sides of the equation, we get 0 = 7m. Dividing both sides by 7, we find that m = 0.

3) −1 = 5 + x/6

X = 4

X = -36

X = -6

X = 30

The equation given is −1 = 5 + x/6. To solve for x, we need to isolate it on one side of the equation. We can start by subtracting 5 from both sides, which gives us -6 = x/6. To further isolate x, we can multiply both sides by 6, resulting in -36 = x. Therefore, the correct answer is x = -36.

Explanation

The equation given is −1 = 5 + x/6. To solve for x, we need to isolate it on one side of the equation. We can start by subtracting 5 from both sides, which gives us -6 = x/6. To further isolate x, we can multiply both sides by 6, resulting in -36 = x. Therefore, the correct answer is x = -36.

4) 6 = a/4 + 2

A = 24

A = 4

A = -16

A = 16

In the given equation, we have 6 on one side and a variable a divided by 4 plus 2 on the other side. To solve for a, we need to isolate it on one side of the equation. By subtracting 2 from both sides of the equation, we get a/4 = 4. Then, by multiplying both sides of the equation by 4, we find that a = 16.

Explanation

In the given equation, we have 6 on one side and a variable a divided by 4 plus 2 on the other side. To solve for a, we need to isolate it on one side of the equation. By subtracting 2 from both sides of the equation, we get a/4 = 4. Then, by multiplying both sides of the equation by 4, we find that a = 16.

5) 0 = 4 + n/5

N = -20

N = -1

N= 20

N = 0

By substituting -20 into the equation, we can verify if it satisfies the equation. Plugging in -20 for n, we get 0 = 4 + (-20/5), which simplifies to 0 = 4 - 4, giving us 0 = 0. Since the equation is true, n = -20 is the correct answer.

Explanation

By substituting -20 into the equation, we can verify if it satisfies the equation. Plugging in -20 for n, we get 0 = 4 + (-20/5), which simplifies to 0 = 4 - 4, giving us 0 = 0. Since the equation is true, n = -20 is the correct answer.

6) 8n + 7 = 31

N = -2

N = 4

N = 1

N = 3

To solve the equation 8n + 7 = 31, we need to isolate the variable n. First, we subtract 7 from both sides of the equation to get 8n = 24. Then, we divide both sides by 8 to solve for n, which gives us n = 3. Therefore, the correct answer is n = 3.

Explanation

To solve the equation 8n + 7 = 31, we need to isolate the variable n. First, we subtract 7 from both sides of the equation to get 8n = 24. Then, we divide both sides by 8 to solve for n, which gives us n = 3. Therefore, the correct answer is n = 3.

7) 144 = −12x - 60

X = -12

X = 5

X = - 5

X = -17

The given equation is 144 = -12x - 60. To solve for x, we need to isolate the variable. By adding 60 to both sides of the equation, we get 204 = -12x. Dividing both sides by -12, we find that x = -17.

Explanation

The given equation is 144 = -12x - 60. To solve for x, we need to isolate the variable. By adding 60 to both sides of the equation, we get 204 = -12x. Dividing both sides by -12, we find that x = -17.

8) −9x + 1 = −80

X = -81

X = -9

X = 9

X = 0

The equation -9x + 1 = -80 can be solved by isolating the variable x. By subtracting 1 from both sides of the equation, we get -9x = -81. Dividing both sides by -9, we find that x = 9.

Explanation

The equation -9x + 1 = -80 can be solved by isolating the variable x. By subtracting 1 from both sides of the equation, we get -9x = -81. Dividing both sides by -9, we find that x = 9.

9) M/9 − 1 = −2

M = -1/3

M = 27

M = 9

M = -9

The given equation m/9 - 1 = -2 can be solved by isolating the variable m. By adding 1 to both sides of the equation, we get m/9 = -1. Then, multiplying both sides by 9, we find that m = -9.

Explanation

The given equation m/9 - 1 = -2 can be solved by isolating the variable m. By adding 1 to both sides of the equation, we get m/9 = -1. Then, multiplying both sides by 9, we find that m = -9.