Answer:
[tex]\displaystyle [-\frac{16}{31}, \frac{7}{31}][/tex]
Step-by-step explanation:
{3x - 2y = −2
{–5x - 7y = 1
−2⁄7[–5x - 7y = 1]
{3x - 2y = −2
{1 3⁄7x + 2y = −2⁄7 >> New Equation
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[tex]\displaystyle \frac{4\frac{3}{7}x}{4\frac{3}{7}} = \frac{-2\frac{2}{7}}{4\frac{3}{7}} \\ \\[/tex]
[tex]\displaystyle x = -\frac{16}{31}[/tex][Plug this back into both equations above to get the y-coordinate of 7⁄31]; [tex]\displaystyle \frac{7}{31} = y[/tex]
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