Answer:
(0, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y + 5x = 1
5y - x = 5
<u>Step 2: Rewrite Systems</u>
y + 5x = 1
- Subtract 5x on both sides: y = 1 - 5x
<u>Step 3: Redefine Systems</u>
y = 1 - 5x
5y - x = 5
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitution in <em>y</em>: 5(1 - 5x) - x = 5
- Distribute 5: 5 - 25x - x = 5
- Combine like terms: 5 - 26x = 5
- Isolate <em>x</em> term: -26x = 0
- Isolate <em>x</em>: x = 0
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5y - x = 5
- Substitute in <em>x</em>: 5y - 0 = 5
- Subtract: 5y = 5
- Isolate <em>y</em>: y = 1
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Step-by-step explanation:
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Answer:
x=18 x=-6
Step-by-step explanation:
2|x-6|+14=38
The first step is to isolate the absolute value
Subtract 14 from each side
2|x-6|+14-14=38-14
2|x-6|=24
Divide by 2 on each side
2/2|x-6|=24/2
|x-6| = 12
Now we can seperate the absolute value into two parts, the positive and the negative
x-6 =12 x-6 = -12
Add 6 to each side
x-6+6 =12+6 x-6+6 = -12+6
x=18 x= -6
Answer:
slope = 5/8
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-2) / -3 - 5
-5 / -8
= 5/8
Answer:
Shown Below
Step-by-step explanation:
Alright so first off we are going to use the little 67 on that corner. We know that it's a supplementary angle, and supplementary angles add up to 180.
180 - 67 = 113.
Inside angles of a triangle all add up to 180. Using that we can create the equation:
(x + 27) + x + 113 = 180
simplify.
2x + 140 = 180
subtract 140 on both sides.
2x = 40
divide both sides by 2
x = 20
substitute x into the asked equation.
(20 + 27) = 47
47 is your answer.
