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6: Solve each system of equation by graphing, substitution, or elimination.

3x+2y=18y=6x-6

Short Answer

Expert verified

The solution isx=2,y=6.

Step by step solution

01

Step-1 – Concept of elimination

The process of adding or subtracting equation to remove a variable and simplify solving the system of equations is called elimination.

02

Step-2 – Using elimination to solve the equation

Given equations are-:

3x+2y=18y=6x-6

Multiplying the first equation by 2and adding with second equation, we get

4y+y=36-65y=30y=6

03

Step-3–Substituting the value of y in first equation, we get

3x+2y=183x+2(6)=183x=18-123x=6x=2

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