dingsiyang07 dingsiyang07

01-09-2019
Mathematics

contestada

The lines $-2x + y = k$ and $0.5x + y = 14$ intersect when $x = -8.4$. What is the value of $k$?

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sqdancefan sqdancefan

02-09-2019

Answer:

k = 35

Step-by-step explanation:

Write the equations with the given value of x, then solve for k.

-2(-8.4) +y = k
0.5(-8.4) +y = 14

Subtract the first equation from the second:

(0.5)(-8.4) +y) -(-2(-8.4) +y) = 14 -k

-21 = 14 -k . . . . . simplify

k = 14 +21 = 35

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