Add the two equations:
2x + 4y = 16
-2x - 3y = -6
2x + -2x = 0
4y -3y = y
16-6 = 10
When you add the equations you get y = 10
Now you have a value for y, use the first equation to solve for x:
2x + 4(10) = 16
2x + 40 = 16
Subtract 40 from both sides:
2x = -24
Divide both sides by 2
X = -12
Answer: x = -12 and y = 10
Answer:
They will get both get $280 if they work for 20 hrs.
Step-by-step explanation:
1) In order to solve the problem, we can use a system of equations
2)Aaliyah's salary equation: y=13x+20
Finn's salary equation: y=12x+40
3) Using the equal values method, we now know that 12x+40=13x+20
4) when you solve the equation, x=20.
5) Substitute 20 for x.
y=12X20+40
y=280
6 2/3 divided equally into containers holding 1 1/3 would be 1 1/3 + 1 1/3 + 1 1/3 + 1 1/3+ 1 1/3= 6 2/3. That would fill five containers with none leftover.
Answer:
56/65.
Step-by-step explanation:
By Pythagoras AB = √(5^2 + 12^2) = √169 = 13.
and AC = √(12^2 + 9^2) = √225 = 15.
sin BAC = sin (BAD + CAD) = sin BAD cos CAD + cos BAD sin CAD.
= 5/13 * 12/15 + 12/13 * 9/15
= 60/195 + 108/195
= 168/195
= 56/65.
