Question

which ordered pair is a solution of the equation y-4=7(x-6)

Answer 1

Step-by-step explanation:

Given which ordered pair is a solution of the equation y-4=7(x-6)

• Now the given equation is y – 4 = 7(x – 6)
• So we get y – 4 = 7x – 42
• Or y = 7x - 38
• consider x = 0 to find the ordered pair
• So y = - 38
• So we get the ordered pair as (0, -38)
• Consider x = 1, so we get
• So y = 7(1) – 38
• Or y = 7 – 38
• Or y = - 31
• So we get the ordered pair as (1,-31)
• Consider x = 2, we get
• So y = 7(2) – 38
• Or y = 14 – 38
• Or y = - 24
• So we get the ordered pair as (2,-24)
• So the solutions are (0,-38),(1,-31),(2,-24)
• So by plotting a graph we get a straight line with all three points on a straight line.

Reference link will be

https://brainly.in/question/16285203

Answer 2

$It \:is \: related \:to \: a \: linear \: equation \\in \:two \: variables \: x \: and \: y .$

$It \: has \: infinitely \: many \: solutions.$

$Given \: equation \: y - 4 = 7(x-6)$

$\implies y = 7(x-6) + 4$

$\implies y = 7x - 42 + 4$

$\implies y = 7x - 38$

$\begin {tabular} {|c|c|c|}</p><p>\cline {1-3} x & y = 7x - 38 & (x,y ) \\</p><p>\cline {1-3} 5& y = 35-38 = -3& (5,-3) \\</p><p>\cline {1-3} 4& y = 28 - 38 = -10& (4,-10) \\</p><p>\cline {1-3} 6& y = 42 - 38 = 4 & (6,4) \\</p><p>\cline{1-3}</p><p>\end {tabular}$

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