2 answers:
Let first number = X and 2nd number = Y Equation 1: 5X + 8Y = -13 Equation 2: 5X + 10Y = -15 Multiply equation 1 by -1 to get: -5X + -8Y = 13 Now add the 2 equations together: -5X + 5X = 0 -8Y + 10Y = 2Y 13 + -15 = -2 The total of the 2 equations is 2Y = -2 divide both sides by 2 to solve for Y Y = -2 / 2 Y = -1 Now we know the 2nd number is -1, so replace Y in the 1st equation and solve for X 5X +8(-1) = -13 5x + -8 = -13 Add 8 to both sides: 5x = -5 Divide both sides by 5 to get x X = -5 / 5 X = -1 Both numbers are -1 To check replace X and Y with -1 and solve: 1st equation: 5(-1) +8(-1) = -5 + -8 = -13 TRUE 2nd equation: 5(-1) +10(-1) = -5 + -10 = -15 TRUEBoth numbers are -1
1st number be x, 2nd number be y
Adding 5 times the first number and 8 times the second number gives a total of -13
so 5x+8y=-13
Adding 5 times the first number and 10 times the second number gives -15
so 5x+10y=-15
subtracting the above two eqns
(5x+8y)-(5x+10y) = -13-(-15)
-2y=2
y=-1
put back in first eqn 5x+8(-1)=-13
5x=-5
x=-1
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