Is this correct? If not can u show me how to do it

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03-11-2022
Mathematics

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Is this correct? If not can u show me how to do it

Sagot :

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TejK1796 TejK1796 · Answer 1 · 2022-11-03T09:13:44-04:00

TejK1796 TejK1796

03-11-2022

Given

[tex]k(x+y)=2x-4[/tex]

Notice that it is the equation of a line.

Then, since it crosses (10,-2), set x=10 and y=-2 in the given equation, as shown below

[tex]\begin{gathered} x=10,y=-2 \\ \Rightarrow k(10-2)=2*10-4 \\ \Rightarrow k(8)=20-4 \\ \Rightarrow k=\frac{16}{8}=2 \\ \Rightarrow k=2 \end{gathered}[/tex]

Thus, the answer is k=2.

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