To solve the equation, subtract 3 from both sides. The solution is k = 11.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
- Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.
- Combine the same terms.
- Isolate the variable on one side by using subtraction of addition.
- Use division or multiplication to find the value of the variable.
Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve k + 3 = 14.
The variable is k. Subtract 3 from both sides:
k + 3 - 3 = 14 - 3
k = 11 (solved)
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Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3 - 2x = -1.5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 3 = 0.5x
- Divide 0.5 on both sides: 6 = x
- Rewrite: x = 6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 3 - 2(6) = -1.5(6)
- Multiply: 3 - 12 = -9
- Subtract: -9 = -9
Here we see that -9 does indeed equal -9.
∴ x = 6 is the solution to the equation.
Answer:
2x + 8y = 16
Step-by-step explanation:
Subtract 2x from both sides of the equation.
8y = 16 − 2x
Divide each term by 8 and simplify.
