Find the solution for the following equations using substitution or elimination: 2x - 3y = 5

4x + 2y = 18

(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 5

4x + 2y = 18

Step 2: Rewrite systems

2x - 3y = 5

y = 9 - 2x

Step 3: Solve for x

Substitute:                              2x - 3(9 - 2x) = 5Distribute -3:                          2x - 27 + 6x = 5Combine like terms:              8x - 27 = 5Add 27 on both sides:           8x = 32Divide 8 on both sides:         x = 4

Step 4: Solve for y

Define:                    2x - 3y = 5Substitute:              2(4) - 3y = 5Multiply:                  8 - 3y = 5Isolate y term:         -3y = -3Isolate y:                 y = 1

And we have our final answer!