of two numbers 1 added to 5 times the first number is equal to double the second thrice the 2nd - Maths - Pairs of Equations

Question

of two numbers 1 added to 5 times the first number is equal to
double the second thrice the 2nd number is 3 more than 7 times the
first Find the numbers

Krishna · Answer

let 2 numbers x&y
5X+1=2Y----(1)
7X+3=3Y----(2)
(1)x7=35X+7=14Y----(3)
(2)x5=35X+15=15Y----(4)
(4)-(3)=0+8=1Y
Y=8
5X+1=2Y
5X+1=2x8=16
5X+1=16
5X=16-1=15
5X=15
X=15/5=3
X=3

of two numbers 1 added to 5 times the first number is equal to double the second.thrice the 2nd number is 3 more than 7 times the first.Find the numbers.