Question

D=x + = at

Find d if x = 3
t=1
Find x if d=12 a=5
t=2
Find = if d = 20 a=3
t
= 4
Find tif d=15 a=2 t=3³
x=3 a=4

Answer 1

Solve the equation for x,y,z and t if 2[

x

y

​

z

t

​

]+3[

1

0

​

−1

2

​

]=3[

3

4

​

5

6

​

]

Explanation:

Solution

verified

Verified by Toppr

2[

x

y

​

z

t

​

]+3[

1

0

​

−1

2

​

]=3[

3

4

​

5

6

​

]

⇒[

2x

2y

​

2z

2t

​

]+[

3

0

​

−3

6

​

]=[

9

12

​

15

18

​

]

⇒[

2x+3

2y

​

2z−3

2t+6

​

]=[

9

12

​

15

18

​

]

Comparing the corresponding elements of these two matrices, we get:

2x+3=9⇒2x=6⇒x=3

2y=12⇒y=6

2z−3=15⇒2z=18⇒z=9

2t+6=18⇒2t=12t=6

∴x=3,y=6,z=9 and t=6