Who introduced K method?

K-theory was invented in the late 1950s by Alexander Grothendieck in his study of intersection theory on algebraic varieties.

What is substitution math?

In Algebra “Substitution” means putting numbers where the letters are: When we have: x. − 2.

How do you find y using substitution?

The first equation tells you how to express y in terms of x, so it makes sense to substitute 3x + 6 into the second equation for y. Substitute 3x + 6 for y into the second equation. Simplify and solve the equation for x. To find y, substitute this value for x back into one of the original equations.

How do you do substitution step by step?

The method of substitution involves three steps:

Solve one equation for one of the variables.
Substitute (plug-in) this expression into the other equation and solve.
Resubstitute the value into the original equation to find the corresponding variable.

How do you solve two equations with substitution?

To solve systems using substitution, follow this procedure:

Select one equation and solve it for one of its variables.
In the other equation, substitute for the variable just solved.
Solve the new equation.
Substitute the value found into any equation involving both variables and solve for the other variable.

How do you solve linear equations with two variables by elimination?

Solve this system of equations by using elimination.

Arrange both equations in standard form, placing like terms one above the other.
Select a variable to eliminate, say y.
Add the new equations, eliminating y.
Solve for the remaining variable.
Substitute for x and solve for y.

How do you solve a system of equations with one variable?

Step 1: Simplify each side, if needed.
Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.
Step 3: Use Mult./Div.
Step 4: Check your answer.
I find this is the quickest and easiest way to approach linear equations.
Example 6: Solve for the variable.