Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Answer:
ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
Step-by-step explanation:
Here, assume such number = m
Now, given :
3 times the number = 3 x ( m) = 3 m
8 less than the given number = m - 8
Now, according to the question:
3 times the number > 8 less than the given number
or, 3 m > m - 8
or, 3m - m > m - 8 + m
or, 2 m > - 8
or, m > - 4
Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
three more than twice a number.
Answer:
y=2
Step-by-step explanation:
first solve those in the brackets then find the square root
2y+3=11
put like terms together
3 goes to the right side
2y=11-3
2=8
y=4
√4=2
y=2
Answer:
it should be 8 and 5, the first one
