The equation of a line l1 is y=5x+1 the equation of l2 is 2y-10x+3=0 show that these 2 lines are parallel

Parallel lines have equal slopes

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 1 is in this form with slope m = 5

rearrange 2y - 10x + 3 = 0 into this form

add 10x to both sides

2y + 3 = 0 + 10x ( subtract 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x -  ← in slope- intercept form with slope m = 5

Since both lines have a slope of 5 then they are parallel lines

Step-by-step explanation:

hope this helps

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

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step-by-step explanation: