1001 Algebra Problems.PDF

924.Solve this system:

a.x= –2,y= –3

b.x= 2,y= 3

c.There is no solution.

d.There are infinitely many solutions.

925.Solve this system:

a.x= –2,y= –1

b.x= 2,y= –1

c.There are infinitely many solutions.

d.There is no solution.

926.Solve this system:

a.x= 9,y= –2

b.x= –9,y= 2

c.There is no solution.

d.There are infinitely many solutions.

927. Solve this system:

a.There is no solution.

b.There are infinitely many solutions.

c.x= –1,y= 2

d.x= 1,y= –2

928.Solve this system:

a.There is no solution.

b.There are infinitely many solutions.

c.x= –5,y= 7

d.x= 5,y= –7

Set 59 (Answers begin on page 270)

This problem set is focused on solving matrix equations

of the form Ax = busing Cramer’s rule.

929.Solve this system using Cramer’s rule:

a.There is no solution.

b.There are infinitely many solutions.

c.x= ^2131 ,y= ^1131 

d.x= –^2131 ,y=–^1131 

930.Assume that aand bare nonzero. Solve this sys-

tem using Cramer’s rule:

a.x= b,y= a

b.x= a,y= b

c.There is no solution.

d.There are infinitely many solutions.

931.Solve this system using Cramer’s rule:

a.x= 8,y = –6

b.x= –8,y= 6

c.There is no solution.

d.There are infinitely many solutions.

932.Solve this system using Cramer’s rule:

a.x= –7,y= 5

b.x= 7,y= –5

c.There is no solution.

d.There are infinitely many solutions.

231

— 2

xy

xy

+=

* + =

xy

xy

24

23 2

+=

* +=

xa

yb

=

* =

xy

xy

37 2

58

–+ =

* +=

x

y

0

4

2

0

14

>>>HH H= – 20

x

y

1

1

1

0

1

1

–

–

>>>––HH H=

x

y

3

9

2

9

4

12

–

>>>– HH H=

x 2

y

3

3

2

21

= –

>>>HH H

x 2

y

1

2

0

11

–

–

= –

>>>HH H

• MATRIX ALGEBRA–