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Chapter 3: Q9. (page 149)

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

2y=5x-1x+y=-1

Short Answer

Expert verified

The solution isx=-17,y=-67.

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-:

2y=5x-1x+y=-1

Multiplying the second equation by 5and adding with first equation, we get

2y+5y=-1-57y=-6y=-67

03

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

x+y=-1x-67=-1x=-1+67x=-17

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