Writing a System of Equations: In Exercises 21-26, write the system of linear equations represented by the augmented matrix. (Use variables
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College Algebra
- Writing an Augmented Matrix: In Exercises 15-20, write the augmented matrix for the system of linear equations. 2x4y+z=136x7z=223xy+z=9arrow_forwardWriting a System of Equations: In Exercises 21-26, write the system of linear equations represented by the augmented matrix. (Use variables x, y, z and w, if applicable.) 529380arrow_forwardComparing Linear Systems and Matrix Operations: In Exercises 39 and 40, (a) perform the row operations to solve the augmented matrix, (b) write and solve the system of linear equations (in variables x, y, and z, if applicable) represented by the augmented matrix, and (c) compare the two solution methods. Which do you prefer? 7131435143612 i Add R2 to R1. ii Multiply R1 by 14. iii Add R3 to R2. iv Add 3 times R1 to R3. v Add 2 times R2 to R1.arrow_forward
- One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a system of linear equations to determine how many liters of each solution are required to obtain the desired mixture. Solve the system using matrices.arrow_forwardSystem of Linear Equations. In Exercises 57-62, use a software program or a graphing utility to solve the system of linear equations. 123.5x+61.3y32.4z=262.7454.7x45.6y+98.2z=197.442.4x89.3y+12.9z=33.66arrow_forwardSolve the system of equations using a matrix: {x+yz=02x+4y2z=63x+6y3z=9 .arrow_forward
- Writing Consider the system of linear equations in x and y. a1x+b1y=c1a2x+b2y=c2a3x+b3y=c3 Describe the graphs of these three equations in the xy-plane when the system has a exactly one solution, b infinitely many solutions, and c no solution.arrow_forwardIn Exercises 15 and 16, use an inverse matrix to solve the system of linear equations. 2xy=62x+y=10arrow_forwardSolving a System of Linear Equations In Exercises 39-48, write the system of linear equations in the form Ax=b and solve this matrix equation for x. x1-x2+4x3=17 x1+3x2=-11 -6x2+5x3=40arrow_forward
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