tsimonej12

21.01.2021 • 

Mathematics

A lottery-ticket cost 4 dollars. Three boys: Paul, Peter, and Robert made a contribution and bought two tickets. Paul gave 1 dollar, Peter gave 3 dollars, and Robert gave 4 dollars. One of the tickets they bought won them 1000 dollars. The boys shared the award fairly, meaning in proportion to their contributions. How much did Peter receive?

Ответ:

jayzeptor

26.01.2021

Mathematics

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We're asked to find the number of solutions to this system of equations:

\begin{aligned} y&=-6x+8 3x+y&=-4 \end{aligned}

y

3x+y

​

 

=−6x+8

=−4

​

Let's put them in slope-intercept form:

\begin{aligned} y&=-6x+8 y&=-3x-4 \end{aligned}

y

y

​

 

=−6x+8

=−3x−4

​

Since the slopes are different, the lines must intersect. Here are the graphs

Step-by-step explanation:

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