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−3-3xx+33yy=44 -xx+yy=33

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Q. −3-3xx+33yy=44 -xx+yy=33
  1. Equations Given: We have the system of equations:\newline11) −3x+3y=4-3x + 3y = 4\newline22) −x+y=3-x + y = 3\newlineLet's solve the second equation for y.\newliney=x+3y = x + 3
  2. Solve for y: Now, substitute y=x+3y = x + 3 into the first equation.\newline−3x+3(x+3)=4-3x + 3(x + 3) = 4
  3. Substitute into first equation: Distribute the 33 into the parentheses.\newline−3x+3x+9=4-3x + 3x + 9 = 4
  4. Distribute and simplify: Combine like terms.\newline0x+9=40x + 9 = 4
  5. Combine like terms: Since 0x0x is 00, we have 9=49 = 4, which is not true. This indicates that there is no solution for xx that will satisfy both equations simultaneously. This means the system of equations is inconsistent.

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