Question

35 pts!! Please help this will help me graduate!!!

Answer 1

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

$y=\frac{3x}{5}+ \frac{22}{5}$

Slope of equation 1 is $\frac{3}{5}$

20y − 11 = 12x (equation 2)

solve for y

Add 11 on both sides

20y = 12x + 11

Divide by 20 on both sides

$y=\frac{12x}{20}+ \frac{11}{20}$

simplify the fraction

$y=\frac{3x}{5}+ \frac{11}{20}$

Slope of equation 2 is $\frac{3}{5}$

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)

$y=\frac{3x}{5}+ \frac{22}{5}$

Slope of equation 1 is $\frac{3}{5}$ and y intercept is 22/5

20y = 12x + 88

Divide by 20 on both sides and simplify the fraction

$y=\frac{3x}{5}+ \frac{22}{5}$

Slope of 20y=12x+88 is $\frac{3}{5}$ 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