Group 'em together
a
b
−
a
+
1
−
b
a
b
−
a
=
a
(
b
−
1
)
Notice that there will be a 1 as without it it'll simply be ab
1
−
b
=
1
(
1
−
b
)
Notice that it doesn't match with the upper one... so we'll change the signs
1
(
1
−
b
)
=
−
1
(
b−
1
)
(try to multiply them now!!
Jot them down in one expression
a
(
b
−
1
)
−
1
(
b
−
1
)
You get!!!!!!
(
a
−
1
)
(
b
−
1
)
16 squared is 256 because if you multiply 16 times 16 you get 256
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio.
Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication.
Finally, solve for x and if you had 100 balloons, you will have 40 yellow balloons.
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table
m = 
= 
= 1
Answer:
3 AND 5
Step-by-step explanation:
LET THE TWO NUMBERS BE X AND Y
THEN
X + Y = 8 …….1
X – Y = 2 …… 2
WE SOLVE SIMULTANOUSLY
SUBTRACTNG EQATION 2 FROM 1
X – X + Y – (-Y) = 8 – 2
Y + Y = 6
2Y = 6
DIVIDING EACH TERM BY 2
2Y/2 = 6/2
Y = 3
THEN PUTTING Y = 3 IN EQUATION 1
X + 3 = 8
X = 8 – 3
X = 5
