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Chapter 5: Q.355 (page 679)

Solve a System of Equations by Elimination In the following exercises, solve the systems of equations by elimination.

9x+4y=25x+3y=5

Short Answer

Expert verified

The solution of the given system of equation is(-2,5)

Step by step solution

01

Step.1 Given information 

The system of two equations 9x+4y=25x+3y=5 are given.

We need to find the solution to these equations.

02

Step 2.  finding a solution for given equations

Here both equations are in standard form,

03

Step 3. Checking  the (-2,5) is the solution for the original equations 

To check, substitute solution (-2,5) in the given system equations and if both sides are equal in the given equations then (-2,5) is the original solution.

9x+4y=2,putx=-2,y=5inthisorginalequationweget9脳-2+4脳5=2-18+20=22=2,bothsidesareequal5x+3y=5.substituethevaluesx=-2andy=5then5脳-2+3脳5=5-10+15=55=5,bothsidesareequalSoorderedpair(-2,5)isasolutionforgivenequations

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