
Marjorie F. answered 12/22/18
Love Building Your Confidence
You want to find two numbers, so you will need two variables:
x + y = 19
x - y = 7
You can solve the system of equations using substitution or elimination.
Since there is a positive "y" in the first equation and a negative "y" in the second equation, use elimination. Add the two equations to eliminate the "y" variable.:
x + y = 19
x - y = 7
2x = 26
Divide both sides by 2: x = 26/2 = 13
To find "y" substitute "x" back into either of the equations and solve for "y":
13 + y = 19
Subtract 13 from both sides: y = 19-13 = 6
CHECK by putting both variables into the other equation:
13 - 6 = 7
ANSWER: 13 and 6