1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side.
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides.
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides.
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1.
Answer:
z < 5.28
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
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
14.3 > 5(z - 2) - 2.1
<u>Step 2: Solve for </u><em><u>z</u></em>
- Distribute 5: 14.3 > 5z - 10 - 2.1
- Subtract: 14.3 > 5z - 12.1
- Add 12.1 on both sides: 26.4 > 5z
- Divide 5 on both sides: 5.28 > z
- Rewrite: z < 5.28
Here we see that any value <em>z </em>smaller than 5.28 would work as a solution to the inequality.
Answer:
Some number divided by 4
Step-by-step explanation:
The y stands for an unknown number, aka some number. The slash indicates division, so it would be some number divided by 4.
