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Mathematical substitution is the process of using one equation to solve for multiple variables. For example:
Equation 1: x + y = 4
Equation 2: 2x + y = 16
Using equation 1, solve for y:
y = 4 - x <-- Plug this into equation 2. This is substitution because you are replacing y in equation 2 with what y is equal to in equation 1.
2x + y = 16 ----> 2x + (4 - x) = 16
Now you can solve for x: x + 4 = 16; x = 12
You can then substitute the value of x back into the equation that is solved for y:
y = 4 - 12; y = -8
Check both equations:
Equation 1: -8 + 12 = 4; 4 = 4 (Correct)
Equation 2: 2(12) + (-8) = 16; 24 - 8 = 16; 16 = 16 (Correct)
We have successfully used substitution to solve for two different variables, x and y.
What else can I help you with?
Can substitution in math be used to find the exact solution of a system of equations?
yes
How do you check a solution to an equation?
By substitution.
Why is graphing easier than using elimination or substitution?
Graphing is not necessarily easier than elimination or substitution. If you are good at drawing graphs, and do not like algebra, then graphing is easier. However, elimination and substitution are much faster, and graphing can often get awkward when working with more complicated formulae.
When solving by the substitution method what happens when one variable cancels out?
That's exactly the purpose of the substitution method ... to get an equation with one less variable. When you have it, you solve it for the variable that's left.
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
When do you use substitution in real life math problems?
you don't.
Can someone teach you how to use substitution in math?
yes, because obviously you know how
Can substitution in math be used to find the exact solution of a system of equations?
yes
What is a math problem for substitution property?
Which property is demonstrated below? If t=s then s=t
Math for 4th?
Do you mean 4th? because it is impossible to figure out 4xtxh without a solution, an even then, it is impossible without substitution.
What is substitution for math?
When you check an answer by using it in another sum e.g2x+7=13x=3substitute to second-4x+6=18x=3 which is correct
What does substitution property of equality mean in math terms?
idk im trying to figure it out myself..... lol jk gtg im doing homework.... =(
What is the Definition of substitution?
substitution menthod
What is Marginal Rate of Substitution?
marginal rate of substitution
What is a sentence using the word substitution?
I can give you several sentences.Use that ingredient as a substitution for the one you don't have.He is going in as a substitution for the quarterback.This is a substitution for the real thing.Margarine could be used as a substitution.
What is Definition marginal rate of substitution?
marginal rate of substitution
When was Substitution - song - created?
Substitution - song - was created in 2009.
