* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Solving Systems of Equations: More on Substitution
Maxwell's equations wikipedia , lookup
Two-body Dirac equations wikipedia , lookup
Unification (computer science) wikipedia , lookup
Two-body problem in general relativity wikipedia , lookup
BKL singularity wikipedia , lookup
Debye–Hückel equation wikipedia , lookup
Perturbation theory wikipedia , lookup
Schrödinger equation wikipedia , lookup
Computational electromagnetics wikipedia , lookup
Navier–Stokes equations wikipedia , lookup
Dirac equation wikipedia , lookup
Equations of motion wikipedia , lookup
Van der Waals equation wikipedia , lookup
Euler equations (fluid dynamics) wikipedia , lookup
Calculus of variations wikipedia , lookup
Itô diffusion wikipedia , lookup
Differential equation wikipedia , lookup
Heat equation wikipedia , lookup
Schwarzschild geodesics wikipedia , lookup
Algebra I –Wilsen Unit 6: Systems of Equations Day Four BLOCK 2 Solving Systems of Equations: More on Substitution Sometimes, neither equation is in “x =” or “y =” format. In those cases, you have to put one of the equations into “x =” or “y =” format yourself. Example 1 –4x + 2y = –8 x+y=5 Step 1: Is there an equation already in “x =” or “y =” format? If no, identify the simpler equation, then put it into “x =” or “y =” format. Step 2: Take this entire expression and substitute it into the other equation. Step 3: Take your value for y and substitute it into any equation to find x. Choose whichever equation looks simplest! The final solution is ( , ) Example 2 2x + y = 2 5x + 3y = 5 Step 1: Is there an equation already in “x =” or “y =” format? If no, pick an equation and solve for x or y. Choose the easiest option! Step 2: Take your expression and substitute it into the other equation. Solve for the variable. Step 3: Take your answer and substitute it into any equation to solve for the other variable. Choose whichever equation looks simplest! The final solution is ( , ) Solve each system of equations by substitution. SHOW ALL WORK! Remember, you can check your answers! 1. 2. x + 2y = 23 x + y = 13 The final solution is ( , ) The final solution is ( , ) 3x – y = 16 x+y=4 3. 4. x – 4y = – 6 y–x=3 The final solution is ( , ) The final solution is ( , ) 2x + y = 7 4x – y = –1