6. Calculate 3 z-18 (mod 4 ) 7. Solve the Simultaneous equations by elimination methos [ 3 y-4 x=8 ( and ) 2 y-x=9 ] 8. find the tion set of the following simultateous equation. (a) (2)/(3) x-(2)/(4) y=0 and (1)/(3) x+(1)/(2) y=7 S. (1)/(4) k-(1)/(9) l=7 and (1)/(4) k-(1)/(9) l=1 9. The sum of two numbers is 8 and their product is -33 find the two numbers 10 A bill of 135 naira was paid wing 5 naira note and 10 naira note. If 16 notes were used atogethes, find howmany of each were used.

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Answer 1

6. To calculate

(mod 4), we need to find the remainder when

is divided by 4.First, let's simplify the expression:

Since

is an integer, we can write it as

where

is an integer and

is the remainder when

is divided by 4.So,

.Now, substitute this back into the expression:

Since

is divisible by 4, we have:

So, the expression simplifies to:

Since

can be any integer from 0 to 3, the possible values for

are 0, 3, 6, and 9.Therefore,

.7. To solve the simultaneous equations by elimination method, we can multiply the second equation by 4 to make the coefficients of

in both equations equal:

Now, subtract the first equation from the second equation to eliminate

:

Substitute

into the first equation to solve for

:

So, the solution to the system of equations is

and

.8. (a) To solve the system of equations

and

, we can multiply the first equation by 6 and the second equation by 6 to eliminate the fractions:

Now, add the two equations to eliminate

:

Substitute

into the first equation to solve for

:

So, the solution to the system of equations is

and

.(b) To solve the system of equations

and

, we can multiply both equations by 36 to eliminate the fractions:

Now, subtract the second equation from the first equation to eliminate

:\[ (

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