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Chapter 4: Q. 342 (page 479)

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

x+y=12x-y=-10

Short Answer

Expert verified

The solution for the system of linear equation is1,11.

Step by step solution

01

Step 1. Given information.

The system of linear equations,

x+y=12x-y=-10

02

Step 2. Calculating the value of y.

Now, on subtracting the equations we will eliminate xterms.

x+y=12-x+y=+102y=22y=11

03

Step 3. Calculating the value of x.

Substituting the value of yin any equation.

x+11=12x=1

04

Step 4. Checking the result.

Substituting the value of xand yin the first equation then

x+y=121+11=1212=12

Substituting the value of xand yin the second equation then

x-y=-101-11=-10-10=-10

Hence, this is true.

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