Hello!
"Standard form" looks like Ax + By = C.
Start by carrying out the indicated multiplication:
y + 9=-3(x-2) becomes y + 9 = -3x + 6
We want to group the x and y terms on the left and the constants on the right. Achieve this by adding 3x to both sides, obtaining: 3x + y + 9 = 6. Next, subtract 9 from both sides: 3x + y = -3.
The given equation, in standard form, is 3x + y = -3.
Answer:
-3y = -4x + 6
3y = 4x - 6
y = (4/3)x - 2
y + 5 = (4/3)(x - 3)
y + 5 = (4/3)x - 4
y = (4/3)x - 9
Step-by-step explanation:
The correct option of your question is D
Step-by-step explanation:
To solve the sum we need to understand the distributive property
a×(b+c) = a×b + a×c
Here,
Option D is given as
RHS = 5(3+8) [ a=5, b=3 and c=8]
=15 + 40
= LHS
It satisfies the distributive property.
You can cross check the property with the other options.
D is the correct option.
Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)
Answer:
A. x + y = 4000
5x + 3y = 15000
Step-by-step explanation:
Total amount raised = $15000
cost of adult tickets = $5
cost of student tickets = $3
Total number of tickets sold = 4000
number of adult tickets sold = x
number of student tickets sold = y
Then we can say,
total number of ticket sold = number of adult tickets + number of student tickets
4000 = x + y
⇒ x + y = 4000 ............. 1
Also,
5x + 3y - 15000 ............. 2
the equations required are:
x + y = 4000
5x + 3y - 15000