if 8 x-2 y=10 and 3 y-9 x=12, then what is the value of y-x ? -8 22 13 24

Name: Problem 1, Chapter :
Uploaded: 2020-08-12T22:26:40-08:00
Duration: 1 min 42 s
Channel: James Kiss
Description: if 8 x-2 y=10 and 3 y-9 x=12, then what is the value of y-x ? -8 22 13 24

step 1 If 8x minus 2y equals 10 and 3y minus 9x equals 12, the question is, what is y minus x? Well, wh

If 8 x-2 y=10 and 3 y-9 x=12, then what is the value of ...

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Key Concepts

Substitution Method

The substitution method involves solving one of the equations for one variable in terms of the others and then substituting this expression into the remaining equations. This method reduces the number of variables in the other equations, gradually leading to a solution for all variables.

Evaluating Variable Expressions

After determining the values of the individual variables in a system, it is common to evaluate expressions that combine these variables, such as sums, differences, or other algebraic combinations. This process is essential to answer questions that ask for a specific relationship or operation involving the solved variables.

Systems of Linear Equations

A system of linear equations consists of two or more linear equations involving the same set of variables. Solving the system means finding the values for the variables that satisfy every equation simultaneously. This concept is fundamental in algebra and serves as a basis for more advanced topics in mathematics.

Elimination Method

The elimination method is a strategy for solving systems of linear equations where one aligns the equations so that adding or subtracting them cancels out one variable. This approach simplifies the system to a single equation in one variable, making it easier to solve for the remaining unknowns.

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