-7(t-4)- (t+9) =5

distributive

I got t=4 ??

Question

-7(t-4)- (t+9) =5

distributive

I got t=4 ??

whpalmer4 · Answer

Does t = 4 work in the original equation?
$$-7(4-4)-(4+9)=5$$$$-7(0)-(13)=5$$$$-13=5$$Not in my universe :-)

whpalmer4 · Answer

$$-7(t-4)-(t+9)=5$$
$$-7t+28 -t -9 = 5$$Note that -7(-4) = 28 and -(+9) = -9 — frequent source of error!
Now finish solving for t, what do you get?

anonymous · Answer

then I get 8t+37=5

whpalmer4 · Answer

Check your signs again...

whpalmer4 · Answer

Pun intended :-)

anonymous · Answer

-8t+37=5?

whpalmer4 · Answer

$$-7t+28-t-9 = -7t-t+28-9 = -8t + 19$$ right?

anonymous · Answer

ok so minus instead of adding the 9 to each side

anonymous · Answer

so -2

whpalmer4 · Answer

You can add 9 to both sides:$$-7t+28 -t -9 +9 = 5 + 9$$
And subtract 28 from both sides:$$-7t-t+28=14$$$$-8t+28-28=14-28=-14$$$$-8t=-14$$

whpalmer4 · Answer

What does t equal?  Final answer :-)

anonymous · Answer

1 3/4 ?

whpalmer4 · Answer

Once again, let's check our solution:
$$-7(t-4)- (t+9) =5$$$$-7(1\frac{3}{4}-4)-(1\frac{3}{4}+9)=5$$$$-7(-2\frac{1}{4})-10\frac{3}{4}=5$$$$14\frac{7}{4}-10\frac{3}{4}=5$$$$4\frac{4}{4}=4+1=5$$
Looks like that is correct, good job!