# How do you solve the system  y = 2x + 1, y = 3x - 7?

Nov 15, 2015

2x + 1 = 3x - 7
1=x-7
x=8
y= 17

#### Explanation:

There are two equations explaining the value of y.
y is 2x + 1
y is also 3x - 7
Therefore, those values must be equal.

2x + 1 = 3x - 7

Continue till you get x= 8
Then substitute for x in any of those 2 equations.
y = 17
{"ft_lang_label":"__label__en","ft_lang_prob":0.7307822,"math_prob":0.99993205,"size":471,"snap":"2023-40-2023-50","text_gpt3_token_len":168,"char_repetition_ratio":0.11563169,"word_repetition_ratio":0.05882353,"special_character_ratio":0.36305732,"punctuation_ratio":0.0776699,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9986407,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-29T07:51:12Z\",\"WARC-Record-ID\":\"<urn:uuid:7cd5fc54-e0aa-44ce-8616-6eeb5f3c433c>\",\"Content-Length\":\"33008\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c02eaedc-54df-4f6d-b664-758eff2645c9>\",\"WARC-Concurrent-To\":\"<urn:uuid:c70ba03e-f618-4b9f-b2a3-624ab436f6bb>\",\"WARC-IP-Address\":\"216.239.36.21\",\"WARC-Target-URI\":\"https://socratic.org/questions/how-do-you-solve-the-system-y-2x-1-y-3x-7#188975\",\"WARC-Payload-Digest\":\"sha1:3JOHIK7CFZLGWMICAKUNBPWECY6DWSPO\",\"WARC-Block-Digest\":\"sha1:YPK7EY3YAK3TNOBUYHW75DHGM5L7VJ5M\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510498.88_warc_CC-MAIN-20230929054611-20230929084611-00439.warc.gz\"}"}