Answer:
(-3, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - y = 12
y = -4x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - (-4x - 9) = 12
- Distribute negative: -5x + 4x + 9 = 12
- Combine like terms: -x + 9 = 12
- Subtract 9 on both sides: -x = 3
- Divide -1 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x - 9
- Substitute in <em>x</em>: y = -4(-3) - 9
- Multiply: y = 12 - 9
- Subtract: y = 3
Answer:
pyramid shape
Step-by-step explanation: dont ask me why its pyramid shape
Answer:
5
Step-by-step explanation:
Answer:
x=35; y=55; z=55
Step-by-step explanation:
x+y=90; z+x=90
z+35=90
z=90-35= 55
x=90-55= 35
y= 90-35 =55
The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500
This question would be solved using simultaneous equation
Two equations can be derived from this question
a + b = 5000 equation 1
0.05a + 0.03b = 220 equation 2
where a = amount invested in the bond that bears 5% per month
b = amount invested in the bond that bears 3% per month
Multiply equation 1 by 0.05
0.05a + 0.05b = 250 equation 3
Subtract equation 2 from 3
0.02b = 30
Divide both sides of the equation by 0.02
b = 1500
Substitute for b in equation 1
a + 1500 = 5000
subtract 1500 from both sides of the equation
a = 5000 - 1500 = 3500
Amount invested in the bond that yields 5% is $3500
Amount invested in the bond that yields 3% is $1500
To learn more about simultaneous equation, please check : brainly.com/question/15165519?referrer=searchResults