Question

Solve the system of equations:

x - 3y = - 4
2x - 6y= 6

Answer 1

The equations x - 3y = -4 and 2x - 6y = 6 represent a system with parallel lines that do not intersect, therefore there are no solutions to this system of equations.

Step-by-step explanation:

Let's solve the system of equations using the method of substitution or elimination. First, look at the two given equations:

1. x - 3y = -4 (Equation 1)
2. 2x - 6y = 6 (Equation 2)

It's clear that Equation 2 is simply Equation 1 multiplied by 2. This implies the two equations are multiples of each other, which could mean the system has an infinite number of solutions or no solutions. Let's simplify Equation 2 to confirm:

Divide Equation 2 by 2:

2x/2 - 6y/2 = 6/2

x - 3y = 3

This new equation contradicts Equation 1 (x - 3y = -4), which indicates that there are no solutions since the two lines are parallel and will never intersect.

Answer 2

No Solution.

Step-by-step explanation:

x-3y=-4

2x-6y=6

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simplify 2x-6y=6 into x-3y=3

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x-3y=-4

x-3y=3

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x-3y=-4

-(x-3y)=-1(3)

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x-3y=-4

-x+3y=-3

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0=-7

no solution