Answer:
[tex]x=9/4=2.25[/tex]
Step-by-step explanation:
The model is essentially saying:
[tex]3(-x)+10(1)=5(x)+8(-1)[/tex]
Simplify:
[tex]-3x+10=5x-8[/tex]
Subtract 5x from both sides:
[tex]-8x+10=-8[/tex]
Subtract 10 from both sides:
[tex]-8x=-18[/tex]
Divide both sides by -8. The negatives cancel:
[tex]x=18/8[/tex]
Reduce:
[tex]x=9/4=2.25[/tex]
And we're done!
