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Vikki [24]
2 years ago
12

If you add​ Natalie's age and​ Fred's age, the result is 42 . If you add​ Fred's age to 4 times​ Natalie's age, the result is 84

. Write and solve a system of equations to find how old Fred and Natalie are

Mathematics
2 answers:
Evgesh-ka [11]2 years ago
7 0
N+F= 42 and F+( 4 x N) =84
SpyIntel [72]2 years ago
5 0
42 x 4 is 168 and 84 x 4 is 336
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Help! It says that I need to determine If both equations represent lines which are parallel, perpendicular, or none...
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    4x + 2y = 8     (1)
    8x + 4y = -4y  (2)

A) Two lines are parallel if they have the same gradient
       - putting both equations into the gradient- intercept form ( y = mx + c                where m is the gradient)
            (1) 4x + 2y = 8
                          2y = 8 - 4x
                            y = -2x + 4
             
            (2) 8x + 4y = -4y
      <span>                    </span>8x = -4y - 4y
                            y = \frac{-8x}{-8}
                            y = -x
   <span>Thus the gradient of the two equations are different and as such          the two lines are not parallel
</span>
B)  When two lines are perpendicular, the product of their gradient is -1
                   m_{1} * m_{2} = p
                                             p = (-2) * (-1)
                                             p =  2
<span>          ∴ the two lines are not perpendicular either.</span>

Thus these lines are SKEWED LINES

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Step-by-step explanation:

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