Answer:
Step-by-step explanation:
6x - 5y = 15....... (1)
x=y+3..........(2)
Putting (2) in (1)
6(y + 3) - 5y = 15
6y + 18 - 5y = 15
6y - 5y = 15 - 18
y = -3
And x = y + 3
x = -3 + 3
x = 0
Answer:
y = -x-3
x-y = -3
x - 2y = 10
Step-by-step explanation:
x − 3y = 6
Slope intercept form is y = mx +b
We need to solve for y
Subtract x from each side
x-x-3y = -x+6
-3y = -x +6
Divide each side by -3
-3y/-3 = -x/-3 +6/-3
y = 1/3 x -2
Standard form is Ax +By = C
y = -x-3
Add x to each side
x-y = -x+x-3
x-y = -3
y = 1/2x -5
We do not like fractions in standard form, so multiply by 2
2y = 2*1/2x -2*5
2y =x-10
Subtract x from each side
-x +2y = x-x-10
-x+2y = -10
We like to have the coefficient on x be positive
Multiply by -1
x - 2y = 10
-45.6 is the answer if you evaluate
Answer:
n = 8
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>
6n + 7 = 55
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7 on both sides: 6n = 48
- Divide 6 on both sides: n = 8
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: 6(8) + 7 = 55
- Multiply: 48 + 7 = 55
- Add: 55 = 55
Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Answer:
904.78 m³
Step-by-step explanation:
V = 4/3 × π r³ = 4/3 × π × 6³ = 904.78
