The sum of three times a first number and twice a second number is 42. If the second number is subtracted from twice the first number, the result is 14. Find the first number.

Solución

Solución

The number : 10

Pasos de solución

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

3 x + 2 y = 42

2 x - y = 14

3 x + 2 y = 42, 2 x - y = 14 : x = 10, y = 6

The number : 10

Ejemplos populares

michael is 10 times as old as carol. if the sum of carol and her father, michael is 100. what is their present ages The product of two consecutive positive integers is 42. Write and solve a quadratic equation to find the solutions. Then show how you use those solutions to find the two consecutive positive integers.The sum of 4 consecutive integers is-54 . What is the greatest integer?plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.3200 liters of rain fell in a park. If 30% of the surface were impervious, how many liters of rain ran off these surfaces?