5B + B = 20
6B = 20
B = 20 / 6
= 10/ 3 hrs
A = 5 ( 10/3 + 2)
= 5 (16/3)
= 80 / 3 hrs
Brian traveled 10/3 hours and Annie traveled 80/3 hours.
-5+(-4)
-5-4
-9
Therefore, -9 is the correct answer
Answer:
x = 1.02564
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>
Step-by-step explanation:
<u>Step 1: Define</u>
35 + 0.8x = 43 - 7x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43
- [Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8
- [Division Property of Equality] Divide 7.8 on both sides: x = 1.02564
To answer this question, let us find the slope using the coordinates:
(2, 1) and (3, 4)
1 - 4 / 2 - 3
-3 / -1
3
The slope is 3, so the answer is neither, since a horizontal line has a slope of 0 and the slope of a vertical line is undefined.
<u>ANSWER</u>
The equation has no solution if
and
.
<u>EXPLANATION</u>
The first equation is

and the second equation is

We try solving this equation for B using the <em>method of elimination.</em>
We multiply equation (2) by 3 to obtain;

We also multiply equation (1) by B to obtain;

We now subtract equation (3) from equation (4).
This will give us;

We factor
on the right hand side to get;

We solve for y to obtain;

The above equation is defined for all real values except

This implies that


Remember that the system will have no solution if and only if the denominator is zero and the numerator is not equal to zero.
This means that,


When we substitute
, then we will have



Hence the correct answer is option A
<em>Note however that if both the numerator and denominator equal zero, then the system has infinitely many solutions.</em>