The substitute method in math involves replacing one variable with an expression and then simplifying the equation.
For example, let's say we have the equation 2x + 3y = 10 and we want to substitute x = 2 into the equation.
First, we substitute x = 2 into the equation:
2(2) + 3y = 10
4 + 3y = 10
Next, we simplify the equation by solving for y:
3y = 6
y = 2
So, when we substitute x = 2 into the equation 2x + 3y = 10, we find that y = 2.
This method can be used to simplify equations and solve for variables by substituting known values.
How to do the subsitute method in math
5/13/2024 at 7:55 PM
3 answers
Subsitution method I meant ,sorry
No problem! The substitution method in math is a way to solve a system of linear equations by solving for one variable in terms of the other and then substituting that expression into the other equation.
Here's an example to illustrate the substitution method:
Let's say we have the system of equations:
1) 2x + 3y = 10
2) x - y = 3
We can solve this system using the substitution method by following these steps:
1. Solve one of the equations for a variable in terms of the other. Let's solve equation 2 for x:
x = y + 3
2. Substitute the expression for x into the other equation (equation 1):
2(y + 3) + 3y = 10
2y + 6 + 3y = 10
3. Simplify the equation and solve for y:
5y + 6 = 10
5y = 4
y = 4/5
4. Substitute the value of y back into the expression we found for x:
x = (4/5) + 3
x = 19/5
So, the solution to the system of equations using the substitution method is x = 19/5 and y = 4/5.
I hope this helps clarify the substitution method in math!
Here's an example to illustrate the substitution method:
Let's say we have the system of equations:
1) 2x + 3y = 10
2) x - y = 3
We can solve this system using the substitution method by following these steps:
1. Solve one of the equations for a variable in terms of the other. Let's solve equation 2 for x:
x = y + 3
2. Substitute the expression for x into the other equation (equation 1):
2(y + 3) + 3y = 10
2y + 6 + 3y = 10
3. Simplify the equation and solve for y:
5y + 6 = 10
5y = 4
y = 4/5
4. Substitute the value of y back into the expression we found for x:
x = (4/5) + 3
x = 19/5
So, the solution to the system of equations using the substitution method is x = 19/5 and y = 4/5.
I hope this helps clarify the substitution method in math!