carla's bead order includes 3 boxes of 100 beads. which could ve the number of beads in carla's order?
1 answer:
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Answer:
The average salary of master's degree people is $ 63,000 And
The average salary of bachelor's degree people is $ 52,000
Step-by-step explanation:
Given in question as :
Let the average salary of master's degree people = $ M And
Let the average salary of bachelor's degree people = $ B
According to question ,
The average salary of master's degree people + The average salary of bachelor's degree people = $115,000
Or , $ M + $ B = $ 115,000 ............. A
Again ,
$ M = 2 × $ B - $ 41,000 ............... B
From eq A and eq B
(2 × $ B - $ 41,000 ) + ( $ B ) = $ 115,000
Or, 3×$ B = 156,000
∴ B = = $ 52,000
And M = $ 115,000 - $ 52,000
∴ M = $ 63,000
Hence The average salary of master's degree people is $ 63,000 And
The average salary of bachelor's degree people is $ 52,000 Answer
Step-by-step explanation:
There are certain methods for solving a system of equations. Some of which are:
- Substitution Method
- Elimination Method
- Graphing Method
<em>Substitution Method</em>
Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.
For example, for the following system of equations
x - 2y = 11....[A]
x = 5 - y....[B]
substituting the value of x = 5 - y from equation [B] into equation [A], so that
(5 - y) - 2y = 11
5 - y - 2y = 11
3y = -6
y = -2
<em>Elimination Method</em>
Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.
For example, for the following system of equations
2x + 7y = -5....[C]
5x - 7y = 12....[D]
Adding Equation [C] and Equation [D].
7x + 0 = 7
x = 1
<em>Graphing Method</em>
Sometimes graphing method may be used to solve the system of the equation and visualize the solution.
For example,
y = -2....[E]
y = 3x + 1....[F]
The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).
Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.
<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>
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