Question

Solve the systems of equations by substituting
8) -3x+3y=4
-x+y=3

Answer 1

no solution

Explanation:

You want to use the substitution method to solve the system of equations ...

• -3x +3y = 4
• -x +y = 3

Substitution

The first equation can be factored to give ...

3(-x +y) = 4

The second equation gives a value for -x +y that can be substituted into the first equation:

3(3) = 4 . . . . . . use 3 for (-x +y)

9 = 4 . . . . . . . . False. No values of the variables will make this true.

The system of equations has no solution.

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Additional comment

The equations describe parallel lines. Since they never meet, there is no point of intersection that can satisfy both equations.