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Name: Class: Date: Solving System of Linear Equations by Substitution 1 Solve the system by substitution: y x + 8 y 9x A. 1, 9 2 B. 1, 7 C. 0, 8 D. 7, 63 G. no solution H. 2, 6 I. Solve by substitution:
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How to fill out solving system of linear
To fill out the solving system of linear, follow these steps:
Identify the given equations that form the system. For example, if you have two equations:
Equation 1: 2x + 3y = 10
Equation 2: 4x - 5y = 6
Rearrange each equation to express one variable in terms of the other. For instance, for Equation 1, you can solve for x:
2x = 10 - 3y
x = (10 - 3y) / 2
Once you have both equations in terms of one variable, set them equal to each other.
(10 - 3y) / 2 = 4x - 5y
Simplify the equation by eliminating fractions, if any. Multiply every term by the common denominator (in this case, 2) to get rid of the fractions.
10 - 3y = 8x - 10y
Arrange all the terms containing the variable (x or y) on one side and the constants on the other side of the equation.
8x - 10y + 3y = 10
Collect like terms and simplify the equation further.
8x - 7y = 10
01
Repeat steps b-f for the second equation to get it in the same format.
1.1
Solving system of linear equations is a fundamental topic in algebra and is used by various individuals, including:
02
Mathematics students studying algebra, linear algebra, or calculus.
03
Engineers who need to solve systems of equations in their work, such as electrical, mechanical, or civil engineers.
04
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Data analysts and statisticians who use systems of equations for regression analysis or solving optimization problems.
06
Physicists who apply systems of linear equations in solving problems related to motion, forces, or electromagnetic fields.
07
Computer programmers who develop algorithms that involve solving systems of equations for simulations, image processing, or machine learning.
08
Financial analysts who use systems of equations to model investment portfolios or assess risk.
By understanding and being able to solve systems of linear equations, individuals from various fields can analyze and solve real-world problems efficiently.
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What is solving system of linear?
Solving system of linear equations involves finding the values of variables that satisfy all equations in the system.
Who is required to file solving system of linear?
Individuals or organizations working with linear equations in various fields such as mathematics, physics, engineering, etc. may need to solve system of linear equations.
How to fill out solving system of linear?
To fill out solving system of linear equations, one can use methods such as substitution, elimination, or matrices.
What is the purpose of solving system of linear?
The purpose of solving system of linear equations is to find the intersection point(s) of the lines represented by the equations.
What information must be reported on solving system of linear?
The values of variables that satisfy all equations in the system must be reported in solving system of linear equations.
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