Plzzz help me on this math problem

Mathematics

1 answer:

Lostsunrise [7]3 years ago

3 0

Hi there!

Amit's reasoning is incorrect because multiplying a positive number by a negative number results in a negative result. The question also says that it is a charge to his account, which means that money is being taken away. Therefore, Amit's reasoning is incorrect because the bank is taking away money from him and his equation results in a positive value, instead of negative.

Hope this helps!! :)
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Solve.<br> y=x - 7<br> 5+2y=7

lesantik [10]

Answer:

$\huge\boxed{x=8;\ y=1\to(8;\ 1)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}$