Linear Systems Substitution

Substitution of linear systems

Substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one) and then inserting it back into the other equation by "replacing" the selected variable and solving the other one. An equation system of linear equations is only a set of two or more linear equations. Make sure that these coordinates solve both equations of the original system: Below is the graphic of this linear system: Proceed as follows to solve systems by substitution:

<font color="#ffff00">-==- sync:ßÇÈâÈâ

One way to resolve a linear system by algebra is to use the substitution technique. Substitution works by replacing one y value with the other. In the second formula we can replace y with the first formula because y = y. The linear system is solved (1, 6).

The substitution methods can also be used if both linear system formulas are available in standardized forms. Simply start by resolving one of the formulas for one of their variable.

method of substitution

Substitution is most useful for systems with 2 equally divided into 2 unknown states. Here the basic concept is that we resolve one of the formulas for one of the unknown and then replace the results with the other. Stage 1: Resolve one of the formulas either for x = or y =. Stage 2: Replace the answer from Stage 1 with the other.

Stage 3: Resolve this new formula. Stage 4: Resolve for the second one. Answer: Stage 1: Resolve one of the formulas for either x = or y =. We will resolve the second formula for y. Stage 2: Replace the second formula with the second formula for the second formula. Stage 3: Resolve this new formula.

Hint: It does not make any difference which first and second expression we use. Answer: Stage 1: Resolve one of the formulas either for x = or y =. Since the y factor in formula 2 is -1, it is simplest to resolve it for y in formula 2. Stage 2: Replace the answer from Stage 1 with the second one.

Stage 3: Resolve this new formula ( for x).

<font color="#ffff00">-==- sync:ßÇÈâÈâ

One way to resolve a linear system by algebra is to use the substitution technique. Substitution works by replacing one y value with the other. In the second formula we can replace y with the first formula because y = y. The linear system is solved (1, 6).

The substitution methods can also be used if both linear system formulas are available in standardized forms. Simply start by resolving one of the formulas for one of their variable.

Auch interessant

Mehr zum Thema