Answer:
(3, -9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- 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>
-5x - 3y = 12
y = x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate <em>x</em> term: -8x = -24
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 12
- Substitute in <em>x</em>: y = 3 - 12
- Subtract: y = -9
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:
100 students chose all three
Step-by-step explanation:
first make a row for each subject and put how many students chose said subject. then subtract the number of students that chose both from the total amount of a subject
hope this helped
A = 3.141 * (3km^2). Just put that into a calculator and bingo
Answer:
Yes they ate Equivalent
Step-by-step explanation:
Given the expression
h(x) = - 3x – 1;j(x) = – 7x + 11 ; k(x) = 21.22 – 262 – 11
H(x)•j(x) = (-3x-1)(-7x+11)
H(x)•j(x) = (-3x)(-7x)-3x(11)-1(-7x)(-1)(11)
H(x)•j(x) = 21x²-33x+7x-11
H(x)•j(x) = 21x²-26x-11
This shows that H(x)•j(x) = k(x)
Answer:
y = −32
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.