Teacher Chen buys a computer by installment payment. When buying, pay 2,000 yuan for the first month, and then pay 1,000 yuan per month, or pay 1,500 yuan per month for the first half of the time, and pay 750 yuan per month for the second half of the time. The total number of payments for both payment methods, the time is the same. How much is the price of this computer.
陈老师以分期付款的方式购买一台电脑．买时第一个月付2000元，以后每月付1000元，或者前一半时间每月付1500元，后一半时间每月付750元．两种付款方式的付款总数，时间都相同．这台电脑的价格是多少元．
<gadget id="calculator">2_000 - 1_000</gadget>
<output>1_000</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1_500 * (1/2)</gadget>
<output>750</output>

<gadget id="calculator">750 * (1/2)</gadget>
<output>375</output>

<gadget id="calculator">375 - 1_000</gadget>
<output>-625</output>

<gadget id="calculator">750 + (-625)</gadget>
<output>125</output>

<gadget id="calculator">1_000 / 125</gadget>
<output>8</output>

<gadget id="calculator">8 - 1</gadget>
<output>7</output>

<gadget id="calculator">7 * 1_000</gadget>
<output>7_000</output>

<gadget id="calculator">2_000 + 7_000</gadget>
<output>9_000</output>

<result>9_000</result>