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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?
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
What else can I help you with?
What are two numbers that when multiplied are 180 and when added are 24?
204
What in the difference between a numerical and algebraic expression?
Numerical equations have only numbers and symbols, while algebraic equations have variables also.
What two numbers add up to 34?
I think you have mistyped your question...
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
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 is the difference with equations with integers and equations with rational numbers?
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 are two numbers that when multiplied are 180 and when added are 24?
204
What in the difference between a numerical and algebraic expression?
Numerical equations have only numbers and symbols, while algebraic equations have variables also.
If the sum of two numbers is 4 and their difference is -2 what are the numbers?
6
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.
What equals a sum of 7 and a difference of 1?
To find two numbers that equal a sum of 7 and a difference of 1, let’s denote the numbers as ( x ) and ( y ). From the information given, we can set up the equations: ( x + y = 7 ) and ( x - y = 1 ). Solving these equations, we find that ( x = 4 ) and ( y = 3 ). Thus, the two numbers are 4 and 3.
What two numbers add up to 34?
I think you have mistyped your question...
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
The difference of two numbers is 10. Their sum is 14. What are the two numbers?
Let the two numbers be ( x ) and ( y ). From the information given, we can set up the equations: ( x - y = 10 ) and ( x + y = 14 ). Solving these equations, we find that ( x = 12 ) and ( y = 2 ). Thus, the two numbers are 12 and 2.
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.
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
What sum of two numbers is 8 and their difference is 12 Find the numbers?
Let X be one number and Y the other. So, X + Y = 8 and X - Y = 12 Solve the set of equations simultaneously or use substitution method. X + Y = 8 X - Y = 12 (ADD THIS EQUATION TO FIRST ONE) _______________ 2X = 20, So X =10 and solving for Y using either equation, Y = -2
