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Chapter 4: Q. 343 (page 479)

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

3x-8y=20x+3y=1

Short Answer

Expert verified

The solution for the system of linear equation is 4,-1.

Step by step solution

01

Step 1. Given information.

The system of linear equations,

3x-8y=20x+3y=1

02

Step 2. Calculating the value of y.

Now, we will make some changes in the equations to eliminate xterms.

Multiplying the second equation with 3we get

3x+9y=3

Then the equations will be,

3x-8y=203x+9y=3

Subtracting the above equations then

3x-8y=20-3x-9y=-3-17y=17y=-1

03

Step 3. Calculating the value of x.

Substituting the value of yin any equation.

3x-8-1=203x+8=203x=12x=4

04

Step 4. Checking the result.

Substituting the value of xand yin the first equation then

3x-8y=203(4)-8(-1)=2012+8=2020=20

Substituting the value of xand yin the second equation then

x+3y=14+3(-1)=14-3=11=1

Hence, this is true.

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