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One number added to three times another number is 24. Five times the first number added to three times the other is 36. Select the system of equations that correctly represents this system of equations.

Question

One number added to three times another number is 24. Five times the first number added to three times the other is 36. Select the system of equations that correctly represents this system of equations.

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Solution

Let's denote the first number as x and the second number as y.

The first sentence can be translated into the equation:

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Two times a number added to another number is 25.  Three times the first number minus the other number is 20.  Write a system to model the situation and find the numbers. Responses2x + y = 253x - 2y = 20The numbers are 7 and 9 2x + y = 25 3x - 2y = 20 The numbers are 7 and 9  2x + y = 203x - y = 25The numbers are 7 and 11 2x + y = 20 3x - y = 25 The numbers are 7 and 11  2x + 25 = y3x - 2y = 20The numbers are 9 and 7 2x + 25 = y 3x - 2y = 20 The numbers are 9 and 7  2x + y = 253x - y = 20The numbers are 9 and 7

Solve the system of equations x, minus, y, equals, minus, 2x−y=−2 and minus, 4, x, minus, y, equals, 48−4x−y=48 by combining the equations.Below, two sets of the two equations are shown. The first set has input boxes in front of each equation to put a number to multiply it by. When you enter a number, the corresponding equation below changes to be the result of the multiplication. Under the second set, a resulting equation is shown with input boxes for the coefficients and constant. Then, there is a "try" button. When you press the try button, if your answer is correct, it will be placed on the page and a new question will appear with a new input box. This process will continue until the final answer area appears with the submit button. left parenthesis, x(x minus, y−y equals= minus, 2, right parenthesis−2) left parenthesis, minus, 4, x(−4x minus, y−y equals= 48, right parenthesis48)xx minus, y−y equals= minus, 2−2minus, 4, x−4x minus, y−y equals= 48480xx plus+0yy equals= try

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