HOW TO SOLVE X & Y LINEAR EQUATION PROBLEMS???

 

Let us consider this following equation

8x+5y=9

3x+2y=4

Solving this on traditional method will take more time… so here, we are solving it in cross multiplication method..

For this, 1^st check whether the equation is in the correct order..

Eg

It must be in

Ax+By=c1…..(1)

Dx+Ey=c2…..(2)   here, a,b,c1,d,e,c2 are any numbers..

Then 2^nd step is taking coefficient of y from equation 2 is necessary.. always start with that number.

Ax+By=c1

Dx+Ey=c2

for getting numerator part first consider this highlighted part and start with E, ie. Coefficient of y in 2^nd equation

And subtract those terms…

E*C1 – C2*B this is numerator part.

For getting denominator part

Ax+By=c1…..(1)

Dx+Ey=c2…..(2)

Consider this highlighted part & again start with E i.e. Coefficient of y in 2^nd equation.

And subtract those terms

E*A – D*B this denominator part

 

Numerator part / denominator part

E*C1 – C2*B/ E*A – D*B

Solving this we will be getting X value then substituting in either (1) or (2) will get Y value.

 

 

Let's solve it with real time problem…

8x+5y=9 ……(1)

3x+2y=4 ……(2)

Numerator part

2*9 – 4*5 = -2

Denominator part

2*8 – 3*5 = 1

= -2/1      we will get the value of X as -2

X=-2 substituting this value in either (1) or (2) to get the value of Y= 5