Answer:
The number of candles will hold 2 candles
And large candle holder will hold 6 candles.
Step-by-step explanation:
Let the number of candles small candle holder have x
And the number of candles large candle holder have y
So, according to the information given in the question:
17 small candle holders means 17 x
and 2 large candle holders means 2y
using a total of 46 candles means 
(1)
Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:
(2)
We will solve equation (1) and (2) by elimination method:
Subtractijng the two equations we get:
Substitute x=2 in equation(2) we get:
So, the number of candles will hold 2 candles
And large candle holder will hold 6 candles.
Answer:
Hey
Definition:-
A square root is a number which produces a specific quantity when multiplied by itself.
Example:-
Suppose the area of a square of side 6 cm is given by 6 × 6 = 36 cm².
Therefore 36 is said to be the square of 6. We write 6² = 36 and we read the ‘the square root of 6 is 36' or simply ‘6 squared is 36.'
hope this helps
Answer:
(a) (5, -3)
Step-by-step explanation:
The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.
<h3>Expression to substitute</h3>
The given equations are ...
We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.
<h3>Substitution</h3>
When the expression (x-8) is substituted for y in the second equation, you get ...
2x +3(x -8) = 1
This simplifies to ...
5x -24 = 1
<h3>Solution</h3>
This 2-step equation can now be solved in the usual way:
5x = 25 . . . . . . add 24 to isolate the variable term
x = 25/5 = 5 . . . . . divide by the coefficient of x
Note that we now know what the correct answer choice is.
Using the expression for y, we find ...
y = x -8 = 5 -8 = -3
The solution is (x, y) = (5, -3).
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The attached graph confirms this solution.
The answer to 1 is common multiple. And the answer to 2 is common denominator
