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3 years ago

A football team lost 5 yards on one play and gained 12 yards on the next play. Find the overall change in field position.

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

Equation: -5 + 12

Overall change: 7 yards

Step-by-step explanation:

In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.

The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.

Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.

Therefore, the answer is 7 yards.

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17x-3y=4 2x-4y=1 the solution to the system of equations is

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ANSWER

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and

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EXPLANATION

$17x-3y=4---(1)$

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Let us make y the subject and call it equation (2)

$2x=1+4y$

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We put equation (2) in to equation (1)

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Simplify to get,

$31y= \frac{8-17}{2}$

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Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

$x=\frac{13}{62}$

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