X + y = 1
add - y both sides
x + y + - y = 1 + - y
x = - y + 1
Answer: x = - y + 1
Graph: y = - x + 1
x + 7y = - 4
add - 7 both sides
x + 7y + - 7y = - 4 + -7y
x = - 7y - 4
Answer: x = - 7y - 4
Graph: y = 0.142857x - 0.571429
2x - 6y = 4
add 6y to both sides
2x - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x - 0.666667
5x + 15y = - 10
add - 15 to both sides
5x + 15y + - 15y = - 10 + - 15y
5x = - 15y - 10
divide both sides by 5
5x/5 = - 15y - 10/5
x = - 3y - 2
Answer: x = - 3y - 2
Graph: y = - 0.333333x - 0.666667
2x + 6y = 10
add - 6y to both sides
2x + 6y + - 6y = 10 + - 6y
2x = - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x = - 3y + 5
Answer: x = -3y + 5
Graph: y = - 0.333333x + 1.666667
Hope that helps!!!
Answer:
-120 , split it into diferent parts.
Step-by-step explanation:
12 (52) - 12 (62) = ?
12 x 52 = 624
12 x 62 = 744
624 - 744 = -120
The steps below are presented in order to arrive to the value of k of the given equation.
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,
(k + 12/ k)(k) = 8(k)
Then, we simplify,
k + 12 = 8k
We then, subtract 8k to both sides of the equation,
k - 8k + 12 = 8k - 8k
Simplifying,
-7k + 12 = 0
Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,
k = 12/7
Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes =
...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)

=
=
=
x=4.5

=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
<span>$29 x 5 days = $145
$145+ $62= $207
Her total rental cost would be $207</span>