Question

Ve the system and find the numbers.

11) One number is four more than a second number. Two times the first number is 4 more than four
times the second number.
A) 7 and 3
C) 6 and 2
D) - 6 and -10
B) 5 and 1

Answer 1

6 and 2

Explanation:

Let the first and second numbers be x and y respectively.

x = 4 + y..... (1)

2x = 4 + 4y...... (2)

Using the substitution method from Eqn(1) into (2)

Anywhere we see x in Eqn(2) we substitute it with 4 + y

I. E. 2(4 + y) = 4 + 4y

8 + 2y = 4 + 4y

Collect like terms.

8 - 4 = 4y - 2y

4 = 2y

.: y = 2

Put y = 2 in Eqn(1), and we have;

x = 4 + 2

x = 6.

.: the first number is 6 and the second number is 2.

Option C is correct.