Hey there!
First, multiply the second equation by -2 as the problem states. When you multiply the second equation by -2, you get:
-2x+4y=2
Now, add this equation to the first equation in which you simply combine like terms:
2x+y=3
+
-2x+4y=2
=
5y= 5
In conclusion, the correct answer would be the first choice.
Answer:
(y - -2) (6 - 3) - (2 - -2) (x - 3) = 0
6y + 2 - 3y - 6 -2x +6 +2x +6 = 0
3y +8 =0
3y = -8
y = -8/3
Step-by-step explanation:
Answer:
6x^2+5x-6
Step-by-step explanation:
The answer is C) 1 ft by 2 ft
You can take 4*0.25 and 8*0.25
You end up with 1 by 2
Answer:
4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction 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>
2x - y = 11
x + 3y = -5
<u>Step 2: Rewrite Systems</u>
2x - y = 11
- [Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x
- [Division Property of Equality] Divide -1 on both sides: y = 2x - 11
<u>Step 3: Redefine Systems</u>
y = 2x - 11
x + 3y = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: x + 3(2x - 11) = -5
- [Distributive Property] Distribute 3: x + 6x - 33 = -5
- Combine like terms: 7x - 33 = -5
- [Addition Property of Equality] Add 33 on both sides: 7x = 28
- [Division Property of Equality] Divide 7 on both sides: x = 4
