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Chapter 4: Q. 48 (page 386)

In the following exercises, solve the systems of equations by elimination.

2x-5y=73x-y=17

Short Answer

Expert verified

The solution for the system of linear equation is6,1.

Step by step solution

01

Step 1. Given Information

The system of linear equation:

2x-5y=7..........13x-y=17..........2

02

Step 2. Calculation

Here both equations are in standard form. To get opposite coefficients of y multiply second equation with -5.

-53x-y=-517-15x+5y=-85........3

Solve for x:

From equations 1and 3:

2x-5y=7-15x+5y=-85-13x=-78x=-78-13x=6

Solve for y:

Substitute x=6

in the equation 2x-5y=7and solve for y.

2x-5y=726-5y=712-5y=7-5y=7-12-5y=-5y=1

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