The sum of three times a number and a second number is five. two times the first number added to the second number is 10. find t
he two numbers.
1 answer:
Answer:
-5 , 20
Step-by-step explanation:
<h3>
Forming system of linear equations and solving:</h3>
Let x and y be the first and second number respectively.
3x + y = 5 -------------(i)
y = 5 - 3x
2x + y = 10 -------------(ii)
Method used for solving: substitution method.
Substitute y = 5 - 3x in equation (ii)
2x + 5 - 3x = 10
2x - 3x + 5 = 10
Combine like terms,
-x + 5 = 10
Subtract 5 from both sides,
-x = 10 - 5
-x = 5
Multiply the entire equation by (-1)
y = 5 - 3*(-5)
= 5 + 15
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