Question

Slove the simultaneous equations:10x+3y=75, 6x-5y =11

Answer 1

Answer:

Step-by-step explanation:

10x+3y=75

⇒ 10x=75-3y

⇒x=(75-3y)/10

putting the value of x in equation 2

6x-5y=11

⇒6{(75-3y)/10}-5y=11

⇒3{(75-3y)/5} -5y=11

⇒(225-9y)/5-5y=11

⇒ (225-9y-25y)/5=11

⇒(225-34y)/5=11

⇒225-34y=55

⇒ 225-55=34y

⇒170=34y

⇒y=170/34

⇒y=5

now value of x is

10x + 3y=75

⇒10x+3*5=75

⇒ 10x + 15=75

⇒10x=75-15

⇒10x=60

⇒x=60/10

⇒x=6

hence the value of x=6 and y=5