Question

3x - 5y = 15.

Answer 1

Answer:

$(0,-3)$

$(5,0)$

$(10,3)$

$(20,9)$

Step-by-step explanation:

Given

$3x - 5y = 15$

Required

Form 4 pairs of (x,y) values

This question will be answered based on assumptions of x and y values;

Haven said that:

For point 1

Take x = 0

Substitute 0 for x in $3x - 5y = 15$

$3(0) -5y = 15$

$-5y = 15$

Solve for y

$y = 15/-5$

$y = -3$

So; the first pair is:

$(0,-3)$

For point 2:

Take y = 0

Substitute 0 for y in $3x - 5y = 15$

$3x - 5(0) = 15$

$3x = 15$

Solve for x

$x = 15/3$

$x = 5$

So, the pair is

$(5,0)$

For point 3:

Take x = 10

Substitute 10 for x in $3x - 5y = 15$

$3(10) - 5y = 15$

$30 - 5y = 15$

Collect Like Terms

$-5y = 15 - 30$

$-5y = -15$

Solve for y

$y = -15/-5$

$y = 3$

So, the pair is:

$(10,3)$

For point 4:

Take y = 9

Substitute 9 for y in $3x - 5y = 15$

$3x - 5(9) = 15$

$3x - 45 = 15$

Collect Like Terms

$3x = 45 + 15$

$3x = 60$

Solve for x

$x = 60/3$

$x = 20$

So, the pair is:

$(20,9)$