Question

(i) x + y = 5 and 2x – 3y = 4​

Answer 1

Step-by-step explanation:

if to find x and y from the above equations

we can use the methid of elimination

(x+y=5)*2=2x+2y=10---(1)

(2x-3y=4)*1=2x-3y=4-----(2)

now eliminate (2) from (1)

2x+2y-10-2x+3y+4=0

=>5y+6=0

=>y=-6/5

substitute y in x+y=5 to find x

x-6/5=5

=>(5x-6)=25

=>5x=31

=>x=31/5

Answer 2

Step-by-step explanation:

eq means equation

x + y = 5 →eq 1 ( multiply by 3 )

3x + 3y = 15 → eq 2

2x - 3y = 4 → eq 3

add eq 2 and 3

3x + 3y = 15

+2x - 3y = 4

= 5x + 0 = 19

x = 19/5

substitute x = 19/5 in eq 1

x + y = 5 → eq 1

19/5 + y = 5

y = 5 - 19/5

y = (25-19) / 5

y = 6/5

therefore , x = 19/5 and y = 6/5