You also learned to set up and solve multiple equations having multiple unknowns using thedeterminant matrix. You will be able to apply your acquired skills and knowledge on electronicformulas as required. Complete the lesson exercise._ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _Lesson 3 Exercise:Complete items 1 through 14 by performing the action required. Checkyour responses against those listed at the end of this lesson.1.Solve for the literal numbers (x, y) using the addition/subtraction method.5x-7y=13x+3y=153-69

2.Solve for the literal numbers (a, b) using the addition/subtraction method.6a-3b=213a+7b=363-70

3.Solve for the literal numbers (x, y) using the substitution method.7x-5y= -112x+5y=293-71

4.Solve for the literal numbers (a, b) using the substitution method.7a-5b=135a+3b=293-72

5.Solve for the literal numbers (x, y) using the comparison method.7x-3y=269x+2y=513-73

6.Solve for the literal numbers (a, b) using the substitution method.5a+2b=187a-3b=23-74

7.Solve the fractional linear equation.143R1+16=72Z+312R1+3=812Z+363-75

8.Solve the fractional linear equation.4E1+6E2=132E1+4E2=123-76

9.Solve the linear equation using the addition/subtraction or substitution method.2E1+2E2+2E3=12E1-E2+E3=2E1+E2-E3=03-77

10.Solve the linear equation using the addition/subtraction or substitution method.2XL+XC+R=16XL+2XC+R=9XL+XC+2R=33-78

11.Solve the equation using the determinant matrix.3z+6R=153z-2R=73-79

12.Solve the equation using the determinant matrix.2o+3z=95o-8z=03-80

13.Solve the equation using the determinant matrix.a-6b+8c= -17a+3b-4c=238a-3b+2c=203-81

14.Solve the equation using the determinant matrix.7x-2y-4z=163x-6y-2z= -102x+4y+5z=49Check your answers with those on the next page. Review those items that you missed beforecontinuing to the study unit exercise.3-82

Lesson 3 Exercise SolutionsReference1.x= 3, y= 233012.a= 5, b= 333013.x= 2, y= 533014.a= 4, b= 333015.x= 5, y= 333016.a= 2, b= 433017.3302R1=6,z=78.3302E1=449,E2=-169.3303E1=1,E2=2,E3=310.3303XL=9,Xc=2,R= -411.R= 1, z= 3330412.3304o=40,z=513.a= 3, b= 2, c= 1330414.x= 6, y= 3, z= 53304Unit Summary. In this study unit, you learned the procedures for manipulating equations to solvefor variables. You learned to apply the seven axioms to literal equations. You are able to applyproblem solving procedures to equations involving ratio and proportions. You learned to solvefractional equations by removing the fractions or by factoring with the LCD. You learned tosolve simultaneous linear equations using the elimination by addition/subtraction, substitution, andcomparison methods. Finally, you mastered the determinant matrix. This course provided youwith the mathematical skills necessary to work with electronic formulas and will help youcomplete higher level mathematical problems.

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- Fall '17
- Addition, Subtraction, Negative and non-negative numbers