Question

Match the following to find the value of x and y which balances the equations.

• A. $x=3$
• B. $y=3$
• C. $x=6$
• D. $y=5$

Answer 1

Here,
We solve algebraic expression, using the trial and error method.

Case 1:
$5x=15$

Value of $x$	L.H.S	R.H.S
0	0	15
1	5	15
3	15	15

The value of $x=3$, as L.H.S = R.H.S

Case 2:
$4y-12=0$

Value of $y$	L.H.S	R.H.S
1	$4-12\ne 0$	0
2	$8-12\ne 0$	0
3	0	0

The value of $y=3$, as l.H.S = R.H.S

Case 3:
$2x-7=5$

Value of $x$	L.H.S	R.H.S
0	$0-7\ne 5$	5
2	$4-12\ne 5$	5
6	5	5

The value of $x=6$, as l.H.S = R.H.S

Case 4:
$y-2=3$

Value of $y$	L.H.S	R.H.S
1	$1-2\ne 3$	3
2	0	3
5	3	3

The value of $y=5$, as l.H.S = R.H.S