Answer:
x = 2y
x - 8 = y + 6
replace x by 2y in the second equation
2y - 8 = y + 6
y - 8 = 6
y = 14
x = 2*14 = 28
Kendra had $28 and Kareem had $14.
Domain of fg(x) is determined by the domain of g(x).g(x) has domain such that x is any real number.So domain fg(x) is x such that x is any real number.
1 Simplify 7x+16+47x+16+4 to 7x+207x+20<span> 7x+20=x<span>7x+20=x</span></span>
2 Subtract 7x from both sides<span> 20=x-7x<span>20=x−7x</span></span>
3 Simplify <span>x-7x<span>x−7x</span></span> to <span>-6x<span>−6x</span></span>
<span>20=-6x<span>20=−6x</span></span>
4 Divide both sides by −6 -20/6=x
5 Simplify 20/6 to 10/3 -10/3=x
6 Switch sides
x=-10/3<span><span><span> </span></span></span>
Answer:
(-3, 13)
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 = -4x + 1
11y = x + 146
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 11(-4x + 1) = x + 146
- Distribute 11: -44x + 11 = x + 146
- [Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146
- [Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x
- [Division Property of Equality] Divide 45 on both sides: -3 = x
- Rewrite/Rearrange: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x + 1
- Substitute in <em>x</em>: y = -4(-3) + 1
- Multiply: y = 12 + 1
- Add: y = 13
