See attachments for the answers.
Subtract 4 from both sides
R/10 = 5 - 4
Simplify 5 - 4 to 1
R/10 = 1
Multiply both sides by 10
R = 1 × 10
Simplify 1 × 10 to 10
<u>R = 10</u>
ANSWER:
x = 10 / 3
y = 0
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.
Equation No. 1 -
- 6x - 14y = - 20
Equation No. 2 -
- 3x - 7y = - 10
First, we will make ( x ) the subject in the first equation and simplify accordingly.
Equation No. 1 -
- 6x - 14y = - 20
- 6x = - 20 + 14y
x = ( - 20 + 14y ) / - 6
x = ( - 10 + 7y ) / - 3
From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.
Equation No. 2 -
- 3x - 7y = - 10
- 7y = - 10 + 3x
- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]
- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]
- 7y = - 10 + ( 10 - 7y )
- 7y = - 7y
- 7y + 7y = 0
0y = 0
y = 0
Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.
x = ( - 10 + 7y ) / - 3
x = [ - 10 + 7 ( 0 ) ] / - 3
x = [ - 10 + 0 ] / - 3
x = - 10 / - 3
x = 10 / 3
Answer:
y>(line under >) - 4/5x + 8
Step-by-step explanation:
Phrase "at least" indicates that the total number of pies is greater than or equal to 120.
The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.
Use this information to create the inequality:
12x + 15y >(line under >) 120
Simplify by solving for y to get this inequality:
y >(line under >) - 4/5x + 8
X = -3, y = 2..................
