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Transcript of Simultaneous Equations
So you ask... what is it?
It is a set of equations
where the values of x and y
And no... it's not difficult to solve at all
Today we will learn 3 skills within simultaneous equations.
Equating Values of y
The Graphical Solution.
To find the solution graphically...
We graph the equations to find the intercept.
Intercept = Solution
Equating Values of y.
This is a much faster than the graphical method.
Consider these equations:
if y is equal to:
These equations are given in words
to solve them, we need to:
interpret the information
solving the equations
"two numbers have a
Find the numbers."
be the unknown numbers.
add the equations together
y = -2x + 3
y = -5x + 2
y = 2x + 1
y = 3x - 2
y = -x=2
y = x - 1
y = -x + 4
y = x + 2
y = x + 1
y = 5 - x
y = 15 - x
y = 2x + 3
y = x - 4
y = 22 - x
y = x - 5
y = -9 + x
Giselle is 27 years older than her son. 6 years ago, she was 4 times older. What are the present ages of each person?
500 tickets were sold. Adult tickets cost $10.00, children's cost $4.00, and a total of $4112 was collected. How many tickets of each kind were sold?
two numbers have a sum of 20 and a product of 96
two number have a product of 24 and a difference of 5
two numbers have a quotient of 4 and a sum of 15
money than George. If Tom gave George
, they would have the
. If George gave Tom
, Tom would have
twice as much
as Bob. How much money do they each have?"
two numbers have a difference of 5 and when x is doubled, the difference is 14
(as Tom gave George $20, which made their amount equal)
(as after George gave Tom $22 Tom had twice as much money as George)
we substitute the x with its value above
A pen contains rabbits and pheasants only. There are 17 heads and 60 feet. How many of each animal does the pen contain?
The graphical method is very precise
PROS AND CONS
To equate the values of y we first need the equations to be in the form of
Thank you for watching.
If there are any problems
feel free to read through the instructions again.
DRISHTI, MICHELLE Y., AND DONNA