Question

Solve 2-step equations. Go to onlinemathlearning for more free math resources. Solve each equation.

a) 3x+7=16
b) 2y−5=11
c) 4z+2=14
d) 5w−8=12

Answer 1

To solve 2-step equations, the first step is to isolate the variable by performing inverse operations. Then, you can solve for the variable by performing additional operations. Finally, check your solution by substituting the value back into the original equation.

Step-by-step explanation:

1. Subtract 7 from both sides of the equation to isolate the variable. 3x + 7 - 7 = 16 - 7
   3x = 9
2. Divide both sides of the equation by 3 to solve for x. 3x / 3 = 9 / 3
   x = 3
3. Substitute the value of x back into the original equation to check your answer. 3(3) + 7 = 16
   9 + 7 = 16
   16 = 16
   The solution is x = 3.
4. Repeat the same steps for the other equations:
   1. Subtract 5 from both sides of the equation: 2y - 5 - 5 = 11 - 5
      2y = 6
   2. Divide both sides of the equation by 2: 2y / 2 = 6 / 2
      y = 3
   3. Substitute the value of y back into the original equation: 2(3) - 5 = 11
      6 - 5 = 11
      11 = 11
      The solution is y = 3.
   4. Subtract 2 from both sides of the equation: 4z + 2 - 2 = 14 - 2
      4z = 12
   5. Divide both sides of the equation by 4: 4z / 4 = 12 / 4
      z = 3
   6. Substitute the value of z back into the original equation: 4(3) + 2 = 14
      12 + 2 = 14
      14 = 14
      The solution is z = 3.
   7. Subtract 8 from both sides of the equation: 5w - 8 - 8 = 12 - 8
      5w = 4
   8. Divide both sides of the equation by 5: 5w / 5 = 4 / 5
      w = 4/5
   9. Substitute the value of w back into the original equation: 5(4/5) - 8 = 12
      4 - 8 = 12
      12 = 12
      The solution is w = 4/5.