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Chapter 5: Q.359 (page 680)

In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.

6x鈭�5y=273x+10y=鈭�24

Short Answer

Expert verified

The solution of the given system of equation is(2,-3)

Step by step solution

01

Step.1 Given information 

Here the system of equations

6x鈭�5y=273x+10y=鈭�24

we have to find out the solution by elimination method.

02

Step 2. Description of finding a solution for given equations 

Both equations are in standard form,

03

Step 3. Checking  the (2,-3) is the solution for the original equations 

To check, substitute solution (2,-3) in the given system equations and if both sides are equal in the given equations then (2,-3) is the original solution.

6x-5y=27,putx=2,y=-3inthisorginalequationweget6脳2-3脳-5=2712+15=2727=27,bothsidesareequal3x+10y=-24.substituethevaluesx=2andy=-3then3脳2+10脳-3=-246-30=-24-24=-24,bothsidesareequalSoorderedpair(2,-3)isasolutionforgivenequations

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