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Translate this word problem as a system of equations and then solve using substitution Find two numbers whose sum is 58 and whose difference is 16?
Wiki User
∙ 14y ago
Suppose the two numbers are x and y.
Then x + y = 58 and x - y = 16
The second equation gives x = 16 + y
Substituting this value of x into the first equation gives
(16 + y) + y = 58
or 2y + 16 = 58 or 2y = 42 which gives y = 21.
Then x = 16 + y gives x = 16 + 21 = 37
So the soln is x = 37, y = 21
Wiki User
∙ 14y ago
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What in the difference between a numerical and algebraic expression?
Numerical equations have only numbers and symbols, while algebraic equations have variables also.
Find two numbers whose sum is 23 and whose difference is 7?
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What two numbers add up to 34?
I think you have mistyped your question...
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Let the two numbers be m and n From the information given, we have two equation in two unknowns. We can solve this system using substitution. Here are the two equations. m+n=92 m-n=20 Now to use substitution, we must rewrite the second equation as m=n+20 and substitute it into the first n+n+20=92 or 2n=72 which tells us n=36 that means m=92-36 or 56. So the numbers are 36 and 56. Let's check 36+56=92 56-36=20
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It is a trivial difference. If you multiply every term in the equation with rational numbers by the common multiple of all the rational numbers then you will have an equation with integers.
What in the difference between a numerical and algebraic expression?
Numerical equations have only numbers and symbols, while algebraic equations have variables also.
What is the difference between exponential functions and logarithmic functions?
Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
The sum of two numbers is 92 their difference is 20 find the numbers?
Let the two numbers be m and n From the information given, we have two equation in two unknowns. We can solve this system using substitution. Here are the two equations. m+n=92 m-n=20 Now to use substitution, we must rewrite the second equation as m=n+20 and substitute it into the first n+n+20=92 or 2n=72 which tells us n=36 that means m=92-36 or 56. So the numbers are 36 and 56. Let's check 36+56=92 56-36=20
Find two numbers whose sum is 23 and whose difference is 7?
x + y = 23x - y = 7Add the equations:2x = 30x = 15Subtract the equations:2y = 16y = 8
What two numbers add up to 34?
I think you have mistyped your question...
The sum of two numbers is 50 their difference is 10 What is the number?
You can experiment with different numbers (trial-and-error). You can also write this as simultaneous equations: a + b = 50 (the sum of the two numbers is 50) a - b = 10 (the difference is 10) There are several approaches to simultaneous equations; in this case, it is easy to solve by adding the two equations together: a + b + a - b = 60 2a = 60 a = 30 So, the first number is 30. You can get the second number by replacing in any of the original equations.
What are the disadvantages to using equations?
Its harder to solve the equations with grande numbers
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Two numbers sum to 50 their difference is 16 what are two equations for this problem?
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To determine the two numbers, assume the numbers to be 'x' and 'y'. Now, given that the sum of the numbers is 40. Therefore, x + y = 40 --> (A) Also, given that the difference of the numbers is 10. Therefore, x - y = 10 --> (B) Add the equations (A) and (B): 2x = 50, which gives x = 25. Use any of the equations above to determine 'y'. Using equation A: 25 + y = 40, which gives y = 15. Therefore, the numbers are 25 and 15.
