Question

Find pair of lineea equatipn for 29x +37y -103= 0 & 37x +29y -95 =0

Answer 1

The pair is (1,2)

Step-by-step explanation:

Given linear equations are $29x+37y-103=0\hfill (1)$ and

$37x+29y-95=0\hfill (2)$

To find the pair of linear equation :

That is to find the solution

• Solving the given linear equations by elimination method :
• Multiply the equation (1) into 37 we get
• $1073x+1369y-3811=0\hfill (3)$
• Multiply the equation (2) into 29 we get
• $1073x+841y-2755=0\hfill (4)$
• Now subtracting the equations (3) and (4) we get

$1073x+1369y-3811=0$

$1073x+841y-2755=0$

(-)____(-)___(+)__________

$528y-1056=0$

• $528y=1056$
• $y=\frac{1056}{528}$

Therefore y=2

Substitute the value of y in equation (1) we get

• $29x+37(2)-103=0$
• $29x+74-103=0$
• $29x-29=0$
• $29x=29$
• $x=\frac{29}{29}$

Therefore x=1

Therefore the pair for the given linear equation is (1,2)