AD = 6x - 4 and AC = 4x - 3
1 answer:
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Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
The statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29
<h3>What is an inequality?</h3>An inequality can be defined as a relation which makes an unequal comparison between two numbers or mathematical expressions.
It is used most often to compare two numbers on the number line by their size
The information given be represented as;
Now, let's find the difference from the left side
We have;
From this, we can see that the statement is wrong as - 29 is neither greater than or equal to 29
The correct statement should be; 8 - 27 is less than 29
Thus, the statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29
Learn more about inequalities here:
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