Answer:
<h3>one solution</h3>
Step-by-step explanation:
Given the expression
3 -x = 2+x
We re to find the number of solutions we will have:
Subtract 2 from both sides
3-x-3 = 2+x -3
-x = x -1
subtract x from both sides
-x - x = x - 1 - x
-2x =-1
Divide both sides by -2
-2x/-2 = -1/-2
x = 1/2
<em>Since the value of x is just 1, hence the equation has just one solution.</em>
Answer:
(-3, 4)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
a. = 36km
b. Perimeter = 108km
c. Area = 486km^2
Step-by-step explanation:
Pythagoras theorem
a^2 + b^2 = c^2
27^2 + b^2 = 45^2
b^2 = 45^2 - 27^2
b^2 = 1296
b =
b = 36km
Perimeter
a + b + c
27 + 36 + 45 = 108
Perimeter = 108km
Area =
Area =
Area =
Area = 486km^2
Answer:
n
−
6
n
+
6
Step-by-step explanation:
There would be 22 red chips in the bucket containing 66 total chips.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let us assume the ratio of red chips to blue chips is 1:2.
Hence, if there 44 blue chips in the bucket:
(2/3) * total chips = 44
Total chips = 66
Number of red chips = (1/3) * 66 = 22
There would be 22 red chips in the bucket containing 66 total chips.
Find out more on equation at: brainly.com/question/1214333