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Two times a number x minus six times another number y is negative six.
Negative two times a number x plus five times another number y is eighteen.
Write the system of equations.

Sagot :

79jidn

Answer:

[tex]2x-6y=6, 2x+5y=18[/tex]

Step-by-step explanation:

Translating the phrase into an equation, we get:

[tex]2x-6y=6[/tex]

And:

[tex]-2x+5y=18[/tex]

So the system of equations would be:

[tex]2x-6y=6, 2x+5y=18[/tex]

If you want to put it into slope-intercept form, you can simplify both equations:

[tex]2x-6y=6\\6y=2x-6\\y=\frac{1}{3}x-3[/tex]

[tex]2x+5y=18\\5y=-2x+18\\y=-\frac{2}{5}x+\frac{18}{5}[/tex]

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