-14x + 15y = 15
-14x + 14x + 15y = 14x + 15
15y = 14x + 15
15 15
y = ¹⁴/₁₅x + 1
-21x - 20y = -10
-21x - 20(¹⁴/₁₅x + 1) = -10
-21x - 20(¹⁴/₁₅x) - 20(1) = -10
-21x - 18²/₃x - 20 = -10
-39²/₃x - 20 = -10
+ 20 + 20
-39²/₃x = 10
-39²/₃ -39²/₃
x = ⁻³⁰/₁₁₉
y = ¹⁴/₁₅x + 1
y = ¹⁴/₁₅(⁻³⁰/₁₁₉) + 1
y = ⁻²⁸/₁₁₉ + 1
y = ⁹¹/₁₁₉
(x, y) = (⁻³⁰/₁₁₉, ⁹¹/₁₁₉)
(1 gal, 2 qt, 3 pt) +
(1 gal, 3 qt, 7 pt) +
(1 gal, 3 qt, 3 pt)
= (3 gal, 8 qt, 13 pt)
= (3 gal, 14 qt, 1 pt)
= (6 gal, 2 qt, 1 pt)
The total volume of punch is 6 gallons, 2 quarts, 1 pint, or 6 5/8 gallons.
Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
Answer:
y = 13x + 86
Step-by-step explanation:
y−8 =13(x+6); distribute the 13
y - 8 = 13x + 78; now add 8 to both sides
y = 13x + 86; this is the slope intercept form