RubyonRails No route matches [PATCH]の解決方法

前提・実現したいこと

プログラミング初心者です。練習としてTwitterのようなアプリを作っているのですが、投稿した内容を編集するの画面を作ったのですが、その画面を編集しようとするとエラーが出てしまいます。

発生している問題・エラーメッセージ

No route matches [PATCH] "/posts/3"

該当のソースコード

#posts_controller.rb
def edit
  	@post = Post.find_by(id:params[:id])
  end

  def update
  	@post = Post.find_by(id: params[:id])
  	@post.content = params[:content]
    　@post.object = params[:object]
  	if @post.save
    flash[:notice]="投稿を編集しました"
  	redirect_to("/posts/index")
    else
    render("posts/edit")
   end
  end

  def destroy
  	@post = Post.find_by(id:params[:id])
  	@post.destroy
    flash[:notice]="投稿を削除しました"
  	redirect_to("/posts/index")
  end

Rails.application.routes.draw do
  post "likes/:post_id/create" => "likes#create"
  post "likes/:post_id/destroy" => "likes#destroy"


  get "login" => "users#login_form"
  post "login" => "users#login"
  post "logout" => "users#logout"

  post "users/create" => "users#create"

  get "signup" => "users#new"
  get 'users/index'
  get "users/:id" => "users#show"
  get "users/:id/edit" => "users#edit"
  post "users/:id/update" => "users#update"
  get "users/:id/likes" => "users#likes"

  get 'posts/index' => "posts#index"
  get "posts/new" => "posts#new"
  get "posts/:id" => "posts#show"
  post "posts/create" => "posts#create"
  get "posts/:id/edit" => "posts#edit"
  post "posts/:id/update" => "posts#update"
  post "posts/:id/destroy" => "posts#destroy"
  get '/' => "home#top"
  get "about" => "home#about"

  resources :users, except: :destroy
  resources :posts, only: [:index, :show, :create] do
  resources :comments, only: [:create]
  end
end

#edit.html.erb
<div class="main posts-new">
  <div class="container">
    <h1 class="form-heading">編集する</h1>
    <%= form_with model: @post, local: true do |f| %>
    <div class="form">
     <div class="form-body">
     	<% @post.errors.full_messages.each do |message| %>
     	<div class="form-error">
     		<%= message %>
     	</div>
     	<% end %>
     	        <%= f.label "なまえ" %><br>
                <%= f.text_field :object,:placeholder => "名前" %>
                <%= f.label "ポイント" %><br>
                <%= f.text_area :content %>
                <%= f.label "画像をアップロード" %><br>
                <%= f.file_field :image %>
                <%= f.submit "投稿" %>
     </div>
    </div>	
    <% end %>
  </div>
</div>