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Chapter 4: Q 1. (page 385)

In the following exercises, determine if the following points are solutions to the given system of equations.

2x-6y=03x-4y=5

Short Answer

Expert verified

The point (-6,2)satisfies the equation so it is a solution to the system of equation and (-3,4)doesn't satisfy so it is not a solution to the system of equation

Step by step solution

01

Step 1. Given information.

The system of equations2x-6y=03x-4y=5

02

Substituting the values.

The equation is,2x-6y=03x-4y=5, substituting the values, we get

2x-6y=02(3)-6(1)=06-6=00=0

03

Substituting for equation

Substituting for 3x-4y=5, we get

3x-4y=53(3)-4(1)=59-4=55=5

04

Check for (-3,4)

Substituting, we get

2(-3)-6(-4)=-6+24=18

3(-3)-4(4)=-9-16=-25

So it is not a solution to the system of equations

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