For Exercises 7-14, an augmented matrix is given. Determine the number of solutions to the corresponding system of equations.
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- Write the system of equations that that corresponds to the augmented matrix. 202. [103120012| 1 23]arrow_forwardSolve for x and y in the matrix equation 2AB=I, given A=[1123] and B=[x2y5].arrow_forwardWrite each system of linear equations as an augmented matrix. 377. {4x+3y=2x2y3z=72xy+2z=6arrow_forward
- Write each system of linear equations as an augmented matrix: (a) {3x+8y=32x=5y3 (b){2x5y+3z=83xy+4z=7x+3y+2z=3arrow_forwardLet A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two equations in two unknowns. Solve the system and substitute into the matrix equation to check you results.arrow_forwardOne 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_forward
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