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katrin [286]
2 years ago
7

Plot graph of 5x+7y= 507x + 5y = 46​

Mathematics
2 answers:
Natasha2012 [34]2 years ago
7 0

Answer:

see attachments

Step-by-step explanation:

Given equations:

\begin{cases}5x + 7y = 50\\7x + 5y = 46\end{cases}

To plot the graphs of the <u>given equations</u>:

  • <u>Rearrange</u> each equation to make y the subject.
  • <u>Input</u> at least two values of x into the equations to find two points on each line.
  • Plots the points.
  • Draw a straight line through the points.

<u>Equation 1</u>

\implies 5x + 7y = 50

\implies 7y = -5x + 50

\implies y = -\dfrac{5}{7}x+\dfrac{50}{7}

x=-4 \implies y = -\dfrac{5}{7}(-4)+\dfrac{50}{7}=10 \implies (-4,10)

x=3 \implies y = -\dfrac{5}{7}(3)+\dfrac{50}{7}=5 \implies (3,5)

Plot the points (-4, 10) and (3, 5) then draw a straight line through them (see attachment 1).

<u>Equation 2</u>

\implies 7x+5y=46

\implies 5y=-7x+46

\implies y=-\dfrac{7}{5}x+\dfrac{46}{5}

x=3 \implies y=-\dfrac{7}{5}(3)+\dfrac{46}{5}=5 \implies (3,5)

x=8 \implies y=-\dfrac{7}{5}(8)+\dfrac{46}{5}=-2 \implies (8,-2)

Plot the points (3, 5) and (8, -2) then draw a straight line through them (see attachment 2).

Learn more about linear graphs here:

brainly.com/question/27962658

chubhunter [2.5K]2 years ago
5 0

Answer:

It's attached you may see it!!

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