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3 years ago

Solve for K 2(k - 5) + 3k = k + 6

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

k = 4

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
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

Distribute 2: 2k - 10 + 3k = k + 6
Combine like terms: 5k - 10 = k + 6
Subtract k on both sides: 4k - 10 = 6
Add 10 on both sides: 4k = 16
Divide 4 on both sides: k = 4

Step 3: Check

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

Substitute in k: 2(4 - 5) + 3(4) = 4 + 6
(Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
Multiply: -2 + 12 = 4 + 6
Add: 10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

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Find an equation for the line below. Thanks !

daser333 [38]

Answer:

$\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}$

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by $\frac{\Delta y}{\Delta x}$ (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

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Now that we know our slope, our equation in slope-intercept form looks something like this.

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However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

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Hope this helped!

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3 years ago

Read 2 more answers

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