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Solve using elimination.

{:[-9x+10 y=-10],[-2x+y=10]:}

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Solve using elimination.\newline9x+10y=102x+y=10 \begin{array}{l} -9 x+10 y=-10 \\ -2 x+y=10 \end{array} \newline \square \newline \square \newlineSubmit

Full solution

Q. Solve using elimination.\newline9x+10y=102x+y=10 \begin{array}{l} -9 x+10 y=-10 \\ -2 x+y=10 \end{array} \newline \square \newline \square \newlineSubmit
  1. Multiply by 1010: Multiply the second equation by 1010 to make the yy coefficients match.2x+y=10-2x + y = 10 becomes 20x+10y=100-20x + 10y = 100
  2. Add equations: Add the new equation to the first one.\newline(9x+10y)+(20x+10y)=10+100(-9x + 10y) + (-20x + 10y) = -10 + 100
  3. Combine like terms: Combine like terms.\newline9x20x+10y+10y=10+100-9x - 20x + 10y + 10y = -10 + 100
  4. Simplify equation: Simplify the equation. 29x+20y=90-29x + 20y = 90

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