Answer:
Infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 4
2x + y = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + (-2x + 4) = 4
- Combine like terms: 4 = 4
Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.
Assuming you typed this correctly, and how you wanted it, then the answer(s) would be x=3, or x=8. Both answers are correct. If it were multiple choice, then the answer would look something like: X=3 or 8.
If you meant 2x, then the answer would be x=8/3. This is a fraction
Answer:
B greater than or equal to -12
Using a theorem (yes i forgot the name of the theorem), we know that because the angles opposite of the sides are congruent, the sides must be congruent aswell. Therefore:
3x - 24 = x + 10
Now solve, starting by using the addition and subtraction properties of equality:
3x - 24 + 24 = x + 10 + 24
3x = x + 34
3x - x = x - x + 34
2x = 34
Now, use the division property of equality:
(2x)/2 = (34)/2
x = 17
Therefore, x = 17.
<em>Hope this helps! :)</em>
