Question

If x is equal to a and Y is equal to b is the solution of the pair of equation x minus 5 is equal to 2 X + Y is equals to 4 find the value of a and b.

Answer 1

Answer:

Step-by-step explanation:

Given, x=a and y=b.

Given equations, x-y=2( assume it as equation 1)

x+y=4( assume it as equation 2)

Equation 1+2,

x-y=2

x+y=4

- - - - - - -

2x=6( y gets cancelled as there is a negative y and a positive y implies y-y=0)

x=6/2

x=3

But x=a implies a=3

substitute a in equation 1 (it can be substituted even in equation 2)

x-y=2

3-y=2

y=3-2

y=1

But y=b implies b=1

Therefore, a=3 and b=1

Answer 2

given that,

x=a,y=b

x-y=2 ..........(1)

x+y=4...........(2)

add equation (1)and(2)

x-y=2

x+y=4

.............

2x=6

x=6/2

x=3

therefore , x=3 that implies a=3 ( x=a)

'x'value substitute in equation(1)

x-y=2

3-y=2

y=3-2

y=1

therefore, y=1 that implies b=1 ( y=b)

therefore,, a=3 and b=1..