Question

{ 2x +y= 100
x + 2y= 110

Answer 1

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$\large\boxed{\begin{array}{l}\begin{cases}\sf 2x+y=100\\\sf x+2y=110\end{cases}\\\begin{cases}\sf y=100-2x\\\sf x+2y=110\end{cases}\\\sf x+2\cdot(100-2x)=110\\\sf x+200-4x=110\\\sf -3x=110-200\\\sf -3x=-90\cdot(-1)\\\sf 3x=90\\\sf x=\dfrac{90}{3}\\\sf x=30\\\sf y=100-2x\\\sf y=100-2\cdot30\\\sf y=100-60\\\sf y=40\\\sf S=\{30,40\}\end{array}}\blue{\checkmark}$