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Question 2 of 10 hAlp

What should you multiply the first equation (top equation) by in order to eliminate the variable x when the two equations are added together?
(2x-3y = 10
(16x+4y=8


User Otaviofcs
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1 Answer

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To eliminate the variable x when the two equations are added together, multiply the first equation by 8.

To eliminate the variable x when the two equations are added together, we need to multiply the first equation by a constant factor. Let's manipulate the equations:

First, let's multiply the first equation by 8 to eliminate the x variable:

16x + 8y = 80

Next, we'll add this modified equation to the second equation:

16x + 4y + 16x + 8y = 8 + 80

Combine like terms:

32x + 12y = 88

So, by multiplying the first equation by 8, we effectively eliminated the variable x when the two equations were added together.

The probable question may be:

In a network optimization scenario, two equations represent the traffic flow and bandwidth constraints for different routes. The equations are:

2x−3y=10

16x+4y=8

To enhance network efficiency, what constant factor should be multiplied by the first equation (top equation) to eliminate the variable x when the two equations are added together? Consider this as a data communication problem where x represents the data packets transmitted, and y represents the bandwidth capacity. How can we manipulate the equations to ensure optimal data flow within the network?

Additional Information:

Assume x represents the number of data packets transmitted in a network, y represents the available bandwidth, and the constants in the equations correspond to specific network parameters. Optimal network performance is achieved when the two equations are combined effectively, and the variable x is eliminated.

User EpsilonAlpha
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