Answer:
see attachments
Step-by-step explanation:
Given equations:
[tex]\begin{cases}5x + 7y = 50\\7x + 5y = 46\end{cases}[/tex]
To plot the graphs of the given equations:
- Rearrange each equation to make y the subject.
- Input 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.
Equation 1
[tex]\implies 5x + 7y = 50[/tex]
[tex]\implies 7y = -5x + 50[/tex]
[tex]\implies y = -\dfrac{5}{7}x+\dfrac{50}{7}[/tex]
[tex]x=-4 \implies y = -\dfrac{5}{7}(-4)+\dfrac{50}{7}=10 \implies (-4,10)[/tex]
[tex]x=3 \implies y = -\dfrac{5}{7}(3)+\dfrac{50}{7}=5 \implies (3,5)[/tex]
Plot the points (-4, 10) and (3, 5) then draw a straight line through them (see attachment 1).
Equation 2
[tex]\implies 7x+5y=46[/tex]
[tex]\implies 5y=-7x+46[/tex]
[tex]\implies y=-\dfrac{7}{5}x+\dfrac{46}{5}[/tex]
[tex]x=3 \implies y=-\dfrac{7}{5}(3)+\dfrac{46}{5}=5 \implies (3,5)[/tex]
[tex]x=8 \implies y=-\dfrac{7}{5}(8)+\dfrac{46}{5}=-2 \implies (8,-2)[/tex]
Plot the points (3, 5) and (8, -2) then draw a straight line through them (see attachment 2).
Learn more about linear graphs here:
https://brainly.com/question/27962658
