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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Bhavita Lalwani · Answer 1 · 2020-06-22T23:14:53+0000

Answer:

k = 35

Explanation:

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

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