Answer:
7x-4 = -28
4y+8 = 4(y + 2)
Step-by-step explanation:
Answer:
3. r = -8
4. x = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
The correct answer is option C
Answer:
i think the 2nd one
Step-by-step explanation:
Step-by-step explanation:
As, they all are consecutive and odd
The equation = x + (x + 2) + (x + 4) = 39
X represent the first number and also the smallest one
X + 2 is the 2nd number, it's consecutive and odd so we need to add 2
X + 4 is the 3rd number, it's consecutive and odd to (x+2) so we will just add 2 more = x + 2 +2 = x +4
So x + (x + 2) + (x + 4) = 39
3x + 6 = 39
3x = 39 - 6
3x = 33
x = 11
So smallest number = 11
And x + 2 = 11+2 = 13 (second number)
And x + 4 = 11 + 4 = 15 ( third number )
So only because u asked for the smallest
So it's 11
