What is the solution to the linear equation? 6k + 10.5 = 3k + 12
O k = 0.5
O k = 2
O k = 7.3
Ok = 9

k = 0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

6k + 10.5 = 3k + 12

Step 2: Solve for k

[Subtraction Property of Equality] Subtract 3k on both sides:                    3k + 10.5 = 12[Subtraction Property of Equality] Subtract 10.5 on both sides:                 3k = 1.5[Division Property of Equality] Divide 3 on both sides:                                k = 0.5

Step 3: Check

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

Substitute in k:                                                                                                6(0.5) + 10.5 = 3(0.5) + 12Multiply:                                                                                                            3 + 10.5 = 1.5 + 12Add:                                                                                                                  13.5 = 13.5

Here we see that 13.5 does indeed equal 13.5.

∴ k = 0.5 is the solution to the equation.

You would have to multiply all of the numbers

C. i believe it is (5×(-20))+(100×(0.7))