The first algebraic approach is called substitution. We will build the concepts of substitution through several example, then end with a five-step process to solve problems using this method.

Solving Systems of Equations by Substitution While graphing is a valid way to solve systems of equations, it is not the best since the coordinates of the intersection point may be decimal numbers, …

(g) Find a temperature when F and C are the same value.

sin−1 x 4 − 4 + C = substitution. In the cases that fractions and poly-nomials, look at the power on he numerator. In Example 3 we had 1, so the de ree was zero. To make a successful substitution, we …

TITUTION: Step 1: Isolate one of the variables. Step 2: Substitute th. pressi. from Step 1 into the OTHER equation. and y. The resulting equation should have only one v. ble, not both Step 3: Solve …

Geometric Interpretation Each substitution corresponds to the sides of a right triangle: a X +x

Example 1: Use the method of substitution to find all the real solutions for the following systems. If the system has infinitely many solutions, write IMS; if there is no solution, write NS. The graphs of the …