Answer:
x=7
Step-by-step explanation:
−3(x−1)+8(x−3)=6x+7−5x
(−3)(x)+(−3)(−1)+(8)(x)+(8)(−3)=6x+7+−5x(Distribute)
−3x+3+8x+−24=6x+7+−5x
(−3x+8x)+(3+−24)=(6x+−5x)+(7)(Combine Like Terms)
5x+−21=x+7
5x−21=x+7
Step 2: Subtract x from both sides.
5x−21−x=x+7−x
4x−21=7
Step 3: Add 21 to both sides.
4x−21+21=7+21
4x=28
Step 4: Divide both sides by 4.
4x/4=28/4
if you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.
Check the picture below.
notice the section encircled in purple.
Answer:
5x=90 x=90/5=18. So, the answer is 18.
T=number of hours she tutors.
r=number of hours she works a receptionist.
Tori is only able to work up to 20 hours per week.
t+r≤20
She tutors for $30 per hour and works as a receptionist for $10 per hour. She must earn at least $200 per week.
30t+10r≥200
Answer: t+r less than or equal to 20; 30t+10r greater than or queal to 200.
t+r≤20
30t+10r≥200
