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Chapter 11: Q. 83 (page 716)

Write a brief paragraph outlining your strategy for solving a system of two linear equations containing two variables.

Short Answer

Expert verified

We solve the method of substitution or method of elimination

Step by step solution

01

Given information

We are given a system of two equation in two unknowns

02

Explanation

If we have two unknowns x and y then from the first equation we can express either one in in the form of other and then substitute the value in other equation. or we can multiply by an integer such that the coefficient of one variables are equal but of opposite sign Then we add the equations and one variable gets eliminated. And then by substitution we find the other variable

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Most popular questions from this chapter

If a system of equations has no solution, it is said to be _______.

(a) Graph the line : 3x+4y=12.

(b) What is the slope of a line parallel to this line?

Constructing a Box: A rectangular piece of cardboard, whose area is 216 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. See the figure. If the box is to have a volume of 224 cubic centimeters, what size cardboard should you start with?

Verify that the values of the variables listed are solutions of the system of equations.

3x+3y+2z=4x-3y+z=105x-2y-3z=8x=2,y=-2,z=2;2,-2,2

Solve each system of equations. If the system has no solution, say that it is inconsistent.

x+2y=42x+4y=8
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