anonymous 3 years ago Solve the linear equation. (will write in comment) A. {-9/11} B. {-27/11} C. {-45/11} D. {-63/11}

1. anonymous

|dw:1352515501659:dw|

2. anonymous

ick

3. anonymous

multiply both sides by 9 to clear the fractions use parentheses carefully i will write it out

4. anonymous

$\frac{x-6}{-3}+\frac{x+9}{9}=x+4$before we begin, is that right?

5. anonymous

yes

6. anonymous

ok here we go $\frac{x-6}{-3}+\frac{x+9}{9}=x+4$ $9\times \left(\frac{x-6}{-3}+\frac{x+9}{9}\right)=(x+4)\times 9$ $-3(x-6)+x+9=9x+36$ this is the only hard part, now remove the parentheses using the distributive law, combine like terms and then solve would you like me to continue?

7. anonymous

8. anonymous

$-3(x-6)+x+9=9x+36$ remove parentheses get $-3x+18+x+9=9x+36$ combine like terms get $-2x+27=9x+36$ add $$2x$$ to both sides get $27=11x+36$ subtract $$36$$ get $-9=11x$ divide by $$11$$ $-\frac{9}{11}=x$

9. anonymous

the hard part is remembering to use parentheses when you clear the fractions then distribute etc

10. anonymous

thank you

11. anonymous

yw