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Chapter 4: Q 51. (page 386)

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

4x-3y=32x+5y=-31

Short Answer

Expert verified

The solution for the system of linear equation is-3,-5.

Step by step solution

01

Step 1. Given Information

System of linear equations:

4x-3y=3.........12x+5y=-31........2

02

Step 2. Calculation

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

54x-3y=5320x-15y=15........3

Also multiply second equation with 3.

32x+5y=3-316x+15y=-93.........4

Solve for x:

From equations 3and 4:

20x-15y=156x+15y=-9326x=-78x=-7826x=-3

Solve for y:

Substitute x=-3

in the equation 4x-3y=3and solve for y.

4x-3y=34-3-3y=3-12-3y=3-3y=3+12-3y=15y=15-3y=-5

The solution for the system of linear equation is-3,-5.

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