Question

Just number 9 would be fine please but also if you could number 10 would help​

Answer 1

9. a = -7

10. x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define equation

a + 6a - 14 = 3a + 6a

Step 2: Solve for a

1. Combine like terms: 7a - 14 = 9a
2. Subtract 7a on both sides: -14 = 2a
3. Divide 2 on both sides: -7 = a
4. Rewrite: a = -7

Step 3: Check

Plug in a into the original equation to verify it's a solution.

1. Substitute in a: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
2. Multiply: -7 - 42 - 14 = -21 - 42
3. Subtract: -49 - 14 = -63
4. Subtract: -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

Step 4: Define equation

-12 - 4x = 8x + 4(1 - 7x)

Step 5: Solve for x

1. Distribute 4: -12 - 4x = 8x + 4 - 28x
2. Combine like terms: -12 - 4x = -20x + 4
3. Add 20x on both sides: -12 + 16x = 4
4. Add 12 on both sides: 16x = 16
5. Divide 16 on both sides: x = 1

Step 6: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x: -12 - 4(1) = 8(1) + 4(1 - 7(1))
2. Multiply: -12 - 4 = 8 + 4(1 - 7)
3. Subtract: -16 = 8 + 4(-6)
4. Multiply: -16 = 8 - 24
5. Subtract: -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.