To solve the two equations simultaneously using the substitution method we need to rearrange one of the equation to make either

or

the subject.
We can try in turn rearranging both equations and see which unknown term would have been easier to solve first
Equation

Making

the subject

, dividing each term by 2

⇒ (Option 1)
Making

the subject

, multiply each term by 8 gives

⇒ (Option 2)
Equation

Making

the subject

, divide each term by 3

⇒ (Option 3)
Making

the subject

, divide each term by 8

⇒ (Option 4)
From all the possibilities of rearranged term, the most efficient option would have been the first option, from equation

with

as the subject,
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
Arithmetic density.
Step-by-step explanation:
The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.
Thus, the population of a country divided by its area determines its arithmetic density
Answer:
Students should be able to find the x-intercepts of a quadratic function using both factoring and completing the square. All that should be given to students is the standard form of a quadratic equation in the form y = ax^2 + bx + c.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Sides of the picture added margin:</u>
<u>Solution</u>:
- A(margin) = Total area - A(picture)
- (8 + 2x)(5 + 2x) - 5*8 = 30
- 4x² + 10x + 16x + 40 - 40 - 30 = 0
- 4x² + 26x - 30 = 0
- 2x² + 13x - 15 = 0
- x = (-13 + √(13² + 2*4*15))/4
- x = (-13 + 17)/4
- x = 1 cm
Note. The other root is ignored as negative.