Question

Find 5 solutions for the linear equation x+5y=21 and plot the solutions as points on a coordinate plane

Answer 1

Answer:

(21, 0), (16, 1), (11, 2), (6, 3), (1, 4) are solutions of  $x + 5\cdot y = 21$. Please see the image attached below to know the plot on the coordinate plane.

Step-by-step explanation:

Let $x + 5\cdot y = 21$, we can determine five distinct points by transforming this function into its explicit form. That is:

$x = 21 - 5\cdot y$

Then, we evaluate the function at five distinct values of $y$:

y = 0

$x = 21-5\cdot (0)$

$x = 21$

y = 1

$x = 21-5\cdot (1)$

$x = 16$

y = 2

$x = 21 - 5\cdot (2)$

$x = 11$

y = 3

$x = 21-5\cdot (3)$

$x = 6$

y = 4

$x = 21-5\cdot (4)$

$x = 1$

(21, 0), (16, 1), (11, 2), (6, 3), (1, 4) are solutions of  $x + 5\cdot y = 21$.