Answer:
(3, -6)
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>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
Answer:
Sum of 10 times a number and fifteen is added to eleven times the same number is therefore: 10x + 15 + 11x = 21x + 15
Step-by-step explanation:
B b b b b b b b b b b b b b b b b b b b b b b b b b b b b b.
Answer:
90-51 = 39 39°
Step-by-step explanation:
Answer: 5x - 2y = 8
y+1=5/2(x-2)+2
multiply the each side by 2 to get rid of the fraction
2 (y+1) = (5/2 (x-2) +2 )2
2y+2=5(x-2)+4
now distribute the 5
2y+2=5x-10+4
subtract the two from each side
2y=5x-10+4-2
add like terms
2y=5x-8
subtract 5x from each side
2y-5x=-8
multiple the whole equation by -1 to make the 5x a positive
-2y+5x=8
hope this helps!
