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Chapter 4: Q. 414 (page 485)

Solve using Cramer鈥檚 rule.

3x+y=-32x+3y=6

Short Answer

Expert verified

Solution for system of linear equation is-157,247

Step by step solution

01

Step 1. Given information

Given system of linear equation,

3x+y=-32x+3y=6

02

Step 2. Determining the solution

Variable coefficients are needed to get the determinant.

i.e.

D=3123

Let's evaluate the determinant.

D=3123=(3)(3)-(1)(2)=9-2=7

03

Step 3. Finding the solution.

Let's evaluate Dxby using the constant in place of x coefficients.

Dx=-3163=(-3)(3)-(1)(6)=-9-6=-15

Let's evaluate Dyby using the constant in place of y coefficients.

Dy=3-326=(3)(6)-(-3)(2)=18+6=24

04

Step 4. Find x and y.

Put the values of D,DxandDy

To find x:

x=DxD=-157

To find y:

y=DyD=247

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