Question

Writing a System of Equations from Tables

Answer 1

Answer:

Step-by-step explanation:

$\\\begin{array}{|c|c|c||c|c|c|}x&y&\Delta y&x&y&\Delta y\\---&---&---&---&---&---\\0&-6&-1.5&0&6.1&-4\\1&-4.5&-1.5&1&6.1&-4\\2&-3&-1.5&2&-1.9&-4\\3&1.5&-1.5&3&-5.9&-4\\---&---&---&---&---&---\\\end {array}\\\\Tables\ representent\ lines\\\\First\ line: \ passing\ through\ (0,-6)\ and\ (2,-3)\:\\\\y+6=\dfrac{3} {2} (x-0) \ or\ y=\dfrac{3} {2} x-6\\\\\\Second \ line: \ passing\ through\ (0,6.1)\ and\ (1,2.1\:\\\\y-6.1=-4(x-0) \ or\ y=-4x+6.1\\\\Solution\ of\ the\ system$

$\Bigg\{\begin{array}{ccc}y&=&\dfrac{3}{2}x-6 \\y&=&-4x+6.1\\\end {array} \right.\\\\\\\Bigg\{\begin{array}{ccc}y&=&-4x+6.1\\\dfrac{3}{2}x-6&=&-4x+6.1 \\\end {array} \right.\\\\\\\Bigg\{\begin{array}{ccc}x&=&2.2\\y&=&-2.7 \\\end {array} \right.$