Question

3. Solve the following simultaneous equations gr
(1) 2x + 3y = 12 : x - y = 1​

Answer 1

Step-by-step explanation:

2x+3y =12 eq1

x-y =1

3x-3y=3 eq2

eq 1+ eq 2

(2x+3x)+(3y-3y)=12+3

5x=15

x=3

substitute x in any eq

y=2

Answer 2

Answer:

X=3 and Y=2

Step-by-step explanation:

2x+3y= 12 ; ......(I)

x-y = 1. .......(II)

Using substitution method:

x-y = 1

x= 1+y. ....(III)

substitute the value of (III) in (I) :

2(1+y) + 3y = 12

2+2y+3y = 12

5y = 12-2

y= 10/5

y = 2

now, putting y = 2 in (iii)

x = 1+y

x = 1+2

x = 3