Two-ninths of a number is less than or equal to negative thirteen

Mathematics

1 answer:

polet [3.4K]2 years ago

6 0

the number is x

2/9x $\leq$ -13

multiply both sides by 9

2x $\leq$ -117

divide both sides by 2

x $\leq$ -58 1/2

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Answer:

$\large{\textbf{The two numbers are: 26 and 49}.\\}$

Step-by-step explanation:

$\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y = 75 \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$ \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} & \implies x + 2x - 3 = 75 \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }$