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3 years ago

4x – 1 = 7x – 16 Solve the problem (Show your work)

Mathematics

2 answers:

Katarina [22]3 years ago

6 0

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x - 1 = 7x - 16

Step 2: Solve for x

Subtract 4x on both sides: -1 = 3x - 16
Add 16 to both sides: 15 = 3x
Divide 3 on both sides: 5 = x
Rewrite: x = 5

Step 3: Check

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

Substitute in x: 4(5) - 1 = 7(5) - 16
Multiply: 20 - 1 = 35 - 16
Subtract: 19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

pantera1 [17]3 years ago

4 0

Answer:

4x−1=7x−16

Step 1: Subtract 7x from both sides.

4x−1−7x=7x−16−7x

−3x−1=−16

Step 2: Add 1 to both sides.

−3x−1+1=−16+1

−3x=−15

Step 3: Divide both sides by -3.

−3x

−3

−15

−3

x=5

Step-by-step explanation:

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