Answer:
(x, y) = (10, - 1)
Step-by-step explanation:
given the 2 equations
3y = - 
x + 2 → (1)
y = - x + 9 → (2)
substitute y = - x + 9 into (1)
3(- x + 9) = - x + 2
- 3x + 27 = - x + 2
add x to both sides
- 
x + 27 = 2 ( subtract 27 from both sides )
- x = - 25
multiply both sides by 2 and divide by - 5
x = 10
solution (10, - 1)
Answer:
C. v < (3au - 60)/2b
Step-by-step explanation:
Given
au/2 - bv/3 > 10
Required
Solve for v
We start by rewriting the inequality
au/2 - bv/3 > 10 becomes
½(au) - ⅓(bv) > 10
Multiply both sides by 6
6 * ½(au) - 6 * ⅓(bv) > 6 * 10
3au - 2bv > 60
Make -2bv the subject of formula
-2bv > 60 - 3au
Multiply both sides by -½
[When multiplying or dividing an inequality by a negative number, the sign of the inequality will change]
-½ * -2bv < -½(60 - 3au)
bv < -½(60 - 3au)
bv < ½(3au - 60)
bv < (3au - 60)/2
Divide both sides by b
v < (3au - 60)/2b
Option C is correct
F (5,9)
You would divide everything by 5 then 9 over 5
30% = 30/100 = (30 x 3)/(100 x 3) = 90/300
1/3 = (1 x 100)/(3 x 100) = 100/300
As 90/300 < 100/300
Therefore 30% < 1/3
The labor fee is $13.55 and each quart of oil is $2.25
Step-by-step explanation:
Let,
x be the amount of each quart of oil
y be the amount of labor fee
According to given statement;
5x+y=24.80 Eqn 1
7x+y=29.30 Eqn 2
Subtracting Eqn 1 from Eqn 2
Dividing both sides by 2
Putting x=2.25 in Eqn 1
The labor fee is $13.55 and each quart of oil is $2.25
Keywords: linear equation, subtraction
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