Answer: (-2,-6) [tex]x=-2, y=-6[/tex]
Step-by-step explanation:
The addition method is another way of saying using elimination by combining two equations. The first equation has an x- coefficient of -10 and the second equation has an x-coefficient of +10 so they will cancel.
Solving:
Given: [tex]-10x+4y=-4, 10x+6y=-56[/tex]
Add both equations:
[tex]-10x+4y=-4\\ 10x+6y=-56[/tex]
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[tex]10y=-60[/tex]
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[tex]10[/tex] [tex]10[/tex]
[tex]y=-6[/tex]
Now substitute y into the first equation to get x:
[tex]-10x+4y=-4[/tex]
[tex]-10x+4(-6)=-4[/tex]
[tex]-10x-24=-4[/tex]
[tex]-10x=20[/tex]
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[tex]-10[/tex] [tex]-10[/tex]
[tex]x=-2[/tex]
That's it!
