1 Three times a number increased lafee times another number in 49 butSlunce the second number exceedsfive times the first number by oneO, what are the numbers ?

1 Three times a number increased lafee times another number in 49 butS

1.	1 Three times a number increased lafee times another number in 49 butSlunce the second number exceedsfive times the first number by oneO, what are the numbers ?
Answer» Let x = "a number"Let y = "another number":Write an equation for each statement::"three times a number increased 5 times another number is 49"3x + 5y = 49:"twice the second number exceeds 5 times the first number by 1."2y = 5x + 1In standard form-5x + 2y = 1:what are the numbers?:Multiply the 1st equation by 5, and the 2nd equation by 315x + 25y = 245-15x + 6y = 3-----------------Adding eliminates, x; find y:0x + 31y = 248:y =248/31y = 8:Find x using the 1st equation3x + 5(8) = 493x = 49 - 40x =9/3x = 3