Step-by-step explanation:
first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below
as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out
so , multiply 3 with the whole of equation 1
3( 2x + y = -4 )
= 6x + 3y = -12
( keep in mind the sign of the number)
5x -3 y = 1
now ,
we have
6x + 3y = -12
5x -3y = 1
as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )
so , once you add the like terms this is what you will get
6x + 5x +3y-3y -12+1
= 11x + 0 - 11
then you can simplify this further for x first
11x = 11
x = 11/11
<u>x </u><u>=</u><u> </u><u>1</u>
now we have the value of x let's simply further for y
let's take equation 2
5(1) - 3y =1
5 -3y = 1
5-1 = 3y
4 = 3y
<u>4</u><u>/</u><u>3</u><u> </u><u>=</u><u> </u><u>y </u>
to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .
5x-3y = 1
( now let's place the values of x and y into the equation and see if our answer is 1 )
5 (1) - 3 (4/3)
= 5 - 4
= 1
it is correct
Answer:
27 and 597
Step-by-step explanation:
To evaluate A5 and A100, substitute n = 5, n = 100 into An , that is
A5 = 6(5) - 3 = 30 - 3 = 27
A100 = 6(100) - 3 = 600 - 3 = 597
Ok so if you add the two 1/4's you will find how much gas she needs total to complete the trip. So do 1/4 + 1/4 and get 1/2. Next you can see that 3/4 is larger than 1/2, so she has enough gas.
Hope that helps!
Answer:
= 270 ⇒ Last answer
Step-by-step explanation:
* If f(x) = 7 + 4x
* If g(x) = 
* We want to find 
- Lets find at first 
∵ f(x) = 7 + 4x
∵ g(x) = 
∴ 
- Lets divide the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is 
∴ (7 + 4x) ÷ 
- Lets reverse the division sign to multiplication sign and reciprocal
the fraction after the division sign
∴ (7 + 4x) × 
∴
= 2x(7 + 4x)
∴
= 14x + 8x²
- Now substitute x by 5
∴
= 14(5) + 8(5)² = 70 + 200 = 270
∴
= 270