Solve this: Q Solve the following 5x-1+1y-2=26x-1-3y-2=1 - Maths - Pair of Linear Equations in Two Variables

Question

Solve this:
Q Solve the following
5 x - 1 + 1 y - 2 = 2 6 x - 1 - 3 y - 2 = 1

Sandeep Saurav · Accepted Answer

Dear Student,

To solve : 5x-1+1y-2=2 and 6x-1+3y-2=1solution : since 1x-1 and1y-2 is common for both the equationsso, assuming 1x-1 be p and 1y-2be qso, equation will be of the form5p+q=2 
1  and6p+3q=1
2multiplying 1 with 3 and subtract 2 from it⇒3(5p+q)-(6p+3q)=(2×3)-1⇒15p+3q-6p-3q=6-1⇒9p=5⇒p=59putting p=59 in 1⇒5p+q=2⇒q=2-5p⇒q=2-5×59⇒q=2-259⇒q=18-259⇒q=-79putting p=1x-1 and q=1y-2⇒59=1x-1 and -79=1y-2taking reciprocal⇒95=x-1 and -97=y-2⇒x=95+1 and y=-97+2⇒x=9+55 and y=-9+147⇒x=145 and y=57
regards

Solve this: Q. Solve the following 5 x - 1 + 1 y - 2 = 2 6 x - 1 - 3 y - 2 = 1

Solve this:
Q. Solve the following
$\frac{5}{x - 1} + \frac{1}{y - 2} = 2 \frac{6}{x - 1} - \frac{3}{y - 2} = 1$