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Aleonysh [2.5K]
3 years ago
5

Andre says that 5 3/4 + 2 1/4 = 7 1/2 because 7 4/8 = 7 1/2. Identify his mistake. Draw a picture to prove that he is wrong.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

Step-by-step explanation:

The given expression is

5\frac{3}{4}+2\frac{1}{4} =7\frac{4}{8}=7\frac{1}{2}

We will rewrite the expression

\frac{23}{4}+\frac{9}{4} =\frac{60}{8}=7\frac{1}{2}

When we add the fraction

\frac{23+9}{4} = \frac{32}{4} = 8

While Andre says the answer is 7\frac{1}{2}

because Andre added the denominator where he has to make a common denominator that should be 4 instead of 8.

Andre made mistake in this step

Picture is given below :

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Elimination method: ax+by=r, -bx+cy=s
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\left[\begin{array}{ccc}ax+by=r\\\\-bx+cy=s\end{array}\right]

Isolate x for ax+by=r

x= \frac{r-by}{a} ; a \neq 0

Subsititute x= \frac{r-by}{a}

-b \frac{r-by}{a} +cy=s

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r=- \frac{as-acy-b^2y}{b} ; a \neq 0;b \neq 0

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The solutions to the system of equations are:

r= -\frac{as-acy-b^2y}{b} and <span> x = \frac{cy-s}{b}
</span>
hope this helps!


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