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2 years ago

13. Find the solution to the following system of equations using any method: 4x - y = 3 -4x + y = -3

Mathematics

1 answer:

forsale [732]2 years ago

3 0

Start by writing out the system of equations.

4x - y = 3
-4x + y = -3

The easiest way to solve this system of equations is the elimination method. This is because both equations contain opposites of each other that you can cancel out.

Add the system of equations together. After adding, everything cancels out. 4x + (-4x) = 0 ; -y + y = 0 ; 3 + (-3) = 0.

You are left with the equation of 0 = 0. Since this is a TRUE statement, this means that there are infinitely many solutions to this system of equations.

If you were left with a false statement, for example 4 = 0, then the answer would be "no solution".

Another way to solve this system of equations is by the substitution method. This method works best if you are given a system of equations with one variable clearly defined.

For example, the system of equations could be:

4x - y = 3
y = 3x + 4

y is equal to 3x + 4, so you could easily substitute y into the first equation. The elimination method wouldn't be the best choice because the system of equations are in the standard form Ax + By = C.

Generally any system of equations in the standard form are easier to solve using the elimination method. Hope this helped, good luck!

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Numbers that never end and don't repeat either. In definition, an irrational number is a number that cannot be written as a simple fraction.

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Examples of irrational numbers are:

*All square roots of natural numbers, except perfect squares, are irrational.:

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3 years ago

An artist sells original hand painted greeting cards. He makes $2.50 profit on a small card and $4.00 profit on a large card. He

Marysya12 [62]

Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.

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3 years ago

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizont

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This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
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Plugging this into the given formula:
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Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
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Then by the zero product property (or the no zero divisors rule), we have:
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So the ball travels 51 yards in total.

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3 years ago

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