With the substitution method which variable do you solve for first?
1 answer:
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Answer:
4 each of red and green binders.
Step-by-step explanation:
Given: Price of each red binder is $2.25.
Price of each green binder is $3.24.
Total Jackie paid is $21.96.
Lets assume the number of red binder bought be "x".
∴ Total amount paid for red binder=
⇒ Total amount paid for red binder=
Now, finding the amount paid for green binder.
As we know the total amount paid by Jackie is $21.96 and she bought same number for each binder.
Jackie paid for x number of green binder=
Next, we can write an equation on total amount paid for Green binder to find value of x.
∴
Solving the equation.
Adding both side by \$ 2.25x
⇒
⇒
cross multiplying both side.
⇒
∴ x= 4
Hence, Jackie bought 4 each of red and green binders as she bought same number of each binders.
Answer:
Cancellation it enables us to eliminate or get rid of one of the variables, so we can solve a more simplified equation.
Some textbooks refer to the elimination method as the addition method or the method of linear combination.
This is because we are going to combine two equations with addition!
Step 1
First, we align each equation so that like variables are organized into columns.
Step 2
Second, we eliminate a variable.
If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.
If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.
Step 3
Thirdly, we substitute this value back into one of the original equations and solve for the other variable.
Example of how to apply the elimination method for solving systems of equations is attached.
