The sum of two numbers is -149. One number is 5 less than the other. Find the numbers

2 answers:

8 0

DEFINE VARIABLES:
x- first number
y- second number

FORM THE TWO EQUATIONS:
x + y = -149
x = y-5

PLUG IN FIRST VALUE TO FIND SECOND (order you plug in doesn’t matter):
(y-5) + y = -149

SIMPLIFY:
(y-5) + y = -149
2y -5 = -149
2y = -144
y = -72

PLUG IN SECOND VALUE TO FIND FIRST:
x + y = -149 —> y = -x-149

x = (-x-149) -5
x = -x -154
2x = -154
x= -77

WRITE FINAL SOLUTION:
(x,y)
(-77, -72)

PSYCHO15rus [73]3 years ago

6 0

Answer:

-72 and -77

Step-by-step explanation:

-149 divided by 2 is 74.5 and sense we want a 5 difference we divide 5 by 2 to get 2.5 the we take 74.5 and add 2.5 to get - 72 and take 74.5 and subtract 2.5 to get -77.

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Step-by-step explanation:

Given:

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In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the $x=12$ and $y=14$ in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.

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$\bf ~~~~~~ \textit{Simple Interest Earned}
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I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1575\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &7
\end{cases}
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