Question

3x+2y=12 & 5x-2y=4 solve in substitution method

Answer 1

Answer:

x = 2 and y = 3.

Step-by-step explanation:

Given :

3 x + 2 y = 12

Rewrite as

2 y = 12 - 3 x .... ( i )

Also given :

5 x - 2 y = 4

Rewrite as

2 y = 5 x - 4

From ( i ) and ( ii) we get

12 - 3 x = 5 x - 4

12 + 4 = 5 x + 3 x

16 = 8 x

x = 2

Now putting x = 2 in ( i )

2 y = 12 - 3 x

2 y = 12 - 6

2 y = 6

y = 3

Thus we get answer x = 2 and y = 3.

Answer 2

Answer:

3x+2y=12

2y=12-3x

y=(12-3x) ÷2

5x-2y=4

substituting the value of y:

5x-2{(12-3x) ÷2}=4

5x-12+3x=4

8x-12=4

8x=4+12

x=16÷8

x=2

y=(12-3×2) ÷2

y=(12-6) ÷2

y=6÷2

y=3

Then you can put the values in the equation and solve them.