Task 3 (a) Write down what a system of two linear equations in two unknowns would look like in Cramer's notation. Solve the pair of equations by multiplying each equation by a quantity that allows for the elimination of the variable y when the equations are subtracted one from the other; this reduces the two equations to a single equation in 2. Solve for z in terms of the coefficients of the system. Now use a similar procedure (multiplying each of the original equations by a quantity that allows for the elimination of the variable : when the equations are subtracted) to solve for y. Compare your formulas with those of Cramer. (b) Use Cramer's Rule to solve the system 4 = 7: + 10y 3 = 5: + 7y (c) Discuss what happens when you use Cramer's Rule to solve the system 10 = - 3y -1 = 4: - 12y
Task 3 (a) Write down what a system of two linear equations in two unknowns would look like in Cramer's notation. Solve the pair of equations by multiplying each equation by a quantity that allows for the elimination of the variable y when the equations are subtracted one from the other; this reduces the two equations to a single equation in 2. Solve for z in terms of the coefficients of the system. Now use a similar procedure (multiplying each of the original equations by a quantity that allows for the elimination of the variable : when the equations are subtracted) to solve for y. Compare your formulas with those of Cramer. (b) Use Cramer's Rule to solve the system 4 = 7: + 10y 3 = 5: + 7y (c) Discuss what happens when you use Cramer's Rule to solve the system 10 = - 3y -1 = 4: - 12y
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 29HP
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