Question

Set up a linear system and solve.

Answer 1

Answer: The smaller integer is 12, while larger integer is 23

Step-by-step explanation:

The sum of two positive integer;

a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.

a + b = 35........(1)

2a - b = 34.......(2). To solve by elimination method add both equation. We have;

3a + 0 = 69

3a = 69, divide both sides by 3.

3a/3 = 69/3 so we have;

a = 23

To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;

a + b = 35 if a = 23 we have;

23 + b = 35

b = 35 - 23

b = 12.

Check: a + b = 35

23 + 12 = 35

35 = 35

The answer is correct.