Question

(2) x+2y = 10; 3х - 2y = 7​

Answer 1

Answer:

x+2y = 10...........(1)

3х - 2y = 7........(2)

Solve for x in the first equation.

x=10-2y

3х - 2y = 7

Replace all occurrences of x in 3х - 2y = 7 with 10-2y

x=10-2y

3(10-2y) - 2y = 7

Simplify 3(10-2y) - 2y = 7

⟹-6y+30-2y=7

⟹-8y=7-30

⟹y=-23÷-8

⟹y=23/8

Replace all occurrences of y in x=10-2y with 23/8

x=10-2y

$⟹ x = 10 - 2( \frac{23}{8} )$

$⟹x = 10 - \frac{23}{4}$

$⟹x = \frac{40 - 23}{4}$

$⟹x = \frac{14}{4}$

$⟹x = \frac{7}{2}$

so,the value of (x,y) ⟹

$( \frac{7}{2} \:, \frac{23}{8} )$