Question

The sum of a certain number and a second number is -42. the first number minus the second number is 52. find the numbers.​

Answer 1

Answer:

You have two simultaneous equations:

X + Y = 33

2X - Y = 18

You can use the 1st equation to solve for one variable in terms of the other:

X + Y = 33

X = 33 - Y

Substitute '33-Y' in place of X in the 2nd equation and solve for Y

2(33-Y) - Y = 18

66-2Y - Y = 18

66 - 3Y = 18

3Y = 66 - 18

3Y = 48

Y = 16

Since we now know what Y is we can use either equation to solve for X

X + Y = 33

X + 16 = 33

X = 17

X = 17, Y = 16

Step-by-step explanation: