Albert´s ftather age=x
Albert age=y
We suggest this system of equations:
y=x-24
x+8=2(y+8)
we solve this system of equation by substitution method.
x+8=2[(x-24)+8]
x+8=2(x-16)
x+8=2x-32
x-2x=-32-8
-x=-40
x=40
y=x-24
y=40-24
y=16
Answer: Albert´s father is 40 years old, and Albert is 16 years old.
He makes 3 batches of cookies...each batch contains 12 cookies...
so there are (3 * 12) = 36 cookies.
He wants to give the same amount of cookies to all of his 20 coworkers...
he can give each coworker 1 cookie and have 16 remaining cookies <=
Answer:
If you're trying to solve for r. r=35
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
r+2r=105
(r+2r)=105(Combine Like Terms)
3r=105
3r=105
Step 2: Divide both sides by 3.
3r/3 = 105/3
r=35
-2x + y = 8
y = 2x + 8
now sub in 2x + 8 for y in the other equation
3x + 2y = 2
3x + 2(2x + 8) = 2...distribute the 2 thru the parenthesis
3x + 4x + 16 = 2
7x = 2 - 16
7x = - 14
x = -14/7
x = -2
now sub -2 in for x in either equation to find y
-2x + y = 8
-2(-2) + y = 8
4 + y = 8
y = 8 - 4
y = 4
solution is : (-2,4)
Answer:
(7,4)
Step-by-step explanation:
Use the midpoint formula:
(x1+x2/2,y1+y2/2)
Sub in the points
9+5/2,2+6/2
7,4
Final answer:
(7,4)
