Respuesta :
Answer:
This system of linear equations represents parallel lines.
The system of equation 1 and the equation 20y = 12x + 88 represents coincidental lines
Step-by-step explanation:
-3x + 5y = 22 (equation 1)
Lets solve the equation for y
Add 3x on both sides
5y= 3x+22
Now divide by 5 on both sides
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of equation 1 is [tex]\frac{3}{5}[/tex]
20y − 11 = 12x (equation 2)
solve for y
Add 11 on both sides
20y = 12x + 11
Divide by 20 on both sides
[tex]y=\frac{12x}{20}+ \frac{11}{20}[/tex]
simplify the fraction
[tex]y=\frac{3x}{5}+ \frac{11}{20}[/tex]
Slope of equation 2 is [tex]\frac{3}{5}[/tex]
Slope of equation 1 and equation 2 are same , so the lines are parallel
This system of linear equations represents parallel lines.
-3x + 5y = 22 (equation 1) and 20y = 12x + 88
Solve both equations for y
-3x + 5y = 22 (equation 1)
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of equation 1 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5
20y = 12x + 88
Divide by 20 on both sides and simplify the fraction
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of 20y=12x+88 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5
Slope and y intercepts are same so the lines are coincidental
The system of equation 1 and the equation 20y = 12x + 88 represents coincidental lines
